BiblioVault - Books about Mathematical Analysis

Harmonic Analysis and Partial Differential Equations: Essays in Honor of Alberto P. Calderon
Edited by Michael Christ, Carlos E. Kenig, and Cora Sadosky
University of Chicago Press, 1999
Library of Congress QA403.H225 1999 | Dewey Decimal 515.2433

Alberto P. Calderón (1920-1998) was one of this century's leading mathematical analysts. His contributions, characterized by great originality and depth, have changed the way researchers approach and think about everything from harmonic analysis to partial differential equations and from signal processing to tomography. In addition, he helped define the "Chicago school" of analysis, which remains influential to this day.

In 1996, more than 300 mathematicians from around the world gathered in Chicago for a conference on harmonic analysis and partial differential equations held in Calderón's honor. This volume originated in papers given there and presents timely syntheses of several major fields of mathematics as well as original research articles contributed by some of the finest scholars working in these areas. An important addition to the literature, this book is essential reading for researchers in these and other related fields.

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Mathematical Analysis of the Electrical Activity of the Brain: Proceedings of a Symposium Held at the Tenth Congress of the All-Union Physiological Society, Erivan, USSR, October 1964
M. N. Livanov
Harvard University Press

Mathematical analysis of electroencephalographic data provides valuable information about the functional state of the brain, enables improved understanding of complex physiological phenomena, and offers the possibility of facilitating the diagnosis of brain disease. This book is a translation by Dr. John S. Barlow of the proceedings of a symposium, held during the Tenth Congress of the All-Union Physiological Society in the USSR in 1964, on the analysis of experimental and clinical electroencephalographic data by means of mathematical and electronic computing techniques.

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Real Analysis Exchange 40, no. 1
Paul D. Humke
Michigan State University Press Journals, 2015

IN THIS ISSUE

CONFERENCE ANNOUNCEMENTS
EDITORIAL MESSAGES

TOPICAL SURVEYS

Àkos K. Matszangosz, "The Denjoy-Young-Saks Theorem in Higher Dimensions: A Survey"

RESEARCH ARTICLES

Emmanuel Chetcuti, Joseph Muscat, "Equilateral Weights on the Unit Ball of Rn"
Tuomas Sahlsten, "Tangent Measures of Typical Measures"
Ettore Minguzzi, "The Equality of Mixed Partial Derivatives Under Weak Differentiability Conditions"
Andrei E. Ghenciu, Mario Roy, "Bowen's Formula for Shift-Generated Finite Conformal Constructions"
Kathryn Hare, Ka-Shing Ng, "Hausdorff and Packing Measures of Balanced Cantor Sets"
Tomasz Filipczak, Andrzej Rosłanowski, Saharon Shelah, "On Borel Hull Operations"
Delong Li, Jie Miao, "Generalized Kiesswetter's Functions"
Donatella Bongiorno, Giuseppa Corrao, "An Integral on a Complete Metric Measure Space"

INROADS

John C. Georgiou, "Extreme Results on Certain Generalized Riemann Derivatives"
Amin Farjudian, Behrouz Emamizadeh, "Absolute Continuity in Partial Differential Equations"
Adel B. Badi, "Basic Introduction to Exponential and Logarithmic Functions"

ERRATA

Antonio Boccuto, Xenofon Dimitriou, "Addendum to: Some New Types of Filter Limit Theorems for Topological Group-Valued Measures"

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Real Analysis Exchange 40, no. 2
Paul D. Humke
Michigan State University Press Journals, 2015

IN THIS ISSUE

Conference Announcements
Editorial Messages

Topical Surveys

Giselle A. Monteiro, "On Functions of Bounded Semivariation"

Research Articles

Zoltán Buczolich, Stéphane Seuret, "Homogeneous Multifractal Measures with Disjoint Spectrum and Monohölder Monotone Functions"
Eyad Massarwi, Paul Musial, "A Stieltjes Type Extension of the Lr-Perron Integral"
Krzysztof Chris Ciesielski, Jakub Jasinski, "On Closed Subsets of R and of R2 Admitting Peano Functions"
Rodrigo López Pouso, Adrián Rodríguez, "A New Uni
cation of Continuous, Discrete, and Impulsive Calculus through Stieltjes Derivatives"
Volodymyr Maslyuchenko, Vasyl' Nesterenko, "Analogues of Transitiveness and Decomposition of Continuity"
Olena Karlova, "On Baire Classification of Strongly Separately Continuous Functions"
Fabián E. Levis, Claudia N. Rodriguez, "Best Lp-Approximant Pair on Small Intervals"
Fredrik Ekström, "The Fourier Dimension is Not Finitely Stable"
Arlene Ash, J. Marshall Ash, Stefan Catoiu, "New Definitions of Continuity"
Kathryn Hare, Franklin Mendivil, Leandro Zuberman, "Packing and Hausdorff Measures of Cantor Sets Associated with Series"
Liwei Chen, "Special Maximal Operator and Ap+ Weights"

Inroads

Eric J. Olson, James C. Robinson, "A Simple Example Concerning the Upper Box-Counting Dimension of a Cartesian Product"
Kandasamy Muthuvel, "Weakly Symmetric Functions and Weakly Symmetrically Continuous Functions"
Alexander Leonov, Cihan Orhan, "On Filter Convergence of Series"

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Real Analysis Exchange 41, no. 1
Paul D. Humke
Michigan State University Press Journals, 2016

VOLUME 41, ISSUE 1

Conference Announcements
Editorial Messages

Plenary Lectures
A. M. Olevskii, "Fourier Quasicrystals"
Marianna Csörnyei, "Tangents of Curves and Dierentiability of Functions"
Zoltán Buczolich, "Convergence of Ergodic Averages for Many Group Rotations"
Topical Surveys
Krzysztof Chris Ciesielski, David Miller, "A Continuous Tale on Continuous and Separately Continuous Functions"

Research Articles
Pongpol Ruankong, Songkiat Sumetkijakan, "Essential Closures"
Bruce H. Hanson, "Sets of Non-Differentiability for Functions with Finite Lower Scaled Oscillation"
Horst Alzer, "Inequalities for Mean Values in Two Variables"
Robert Menkyna, "On the Differences of Lower Semicontinuous Functions
S. N. Mukhopadhyay, S. Ray, "Relation Between Lp-Derivates and Peano, Approximate Peano and Borel Derivates of Higher Order"
Igor L. Bloshanskii, Denis A. Grafov, "Sufficient Conditions for Convergence Almost Everywhere of Multiple Trigonometric Fourier Series with Lacunary Sequence of Partial Sums"
Brian S. Thomson, "On VBG Functions and the Denjoy-Khintchine Integral"
Péter Komjáth, "A Certain 2-Coloring of the Reals"

Inroads
Alexander Kharazishvili, "Absolute Null Subsets of the Plane with Bad Orthogonal Projections"
René E. Castillo, Julio C. Ramos-Fernández, Margot Salas-Brown, "The Essential Norm of Multiplication Operators on Lorentz Sequence Spaces"

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Real Analysis Exchange 41, no. 2
Paul D. Humke
Michigan State University Press Journals, 2016

IN THIS ISSUE

Conference Announcements
Editorial Messages

Topical Surveys

John C. Morgan II, "Completion from an Abstract Perspective"

Research Articles

M. Archana, V. Kannan, "Intervals Containing All the Periodic Points"
Ryan M. Berndt, Greg G. Oman, "Turning Automatic Continuity Around: Automatic Homomorphisms"
Dariusz Kosz, "On the Discretization Technique for the Hardy-Littlewood Maximal Operators"
Volodymyr Mykhaylyuk, "On the Mixed Derivatives of a Separately Twice Differentiable Function"
Jimmy Tseng, "Nondense Orbits for Anosov Dieomorphisms of the 2-Torus"
Balazs Maga, "Accumulation Points of Graphs of Baire-1 and Baire-2 Functions"

Inroads

Kevin Beanland, Paul D. Humke, Trevor Richards, "On Scottish Book Problem 157"
Emma D'Aniello, T. H. Steele, "A Non Self-Similar Set"
Jan A. Grzesik, "Contour Integration Underlies Fundamental Bernoulli Number Recurrence"
Pier Domenico Lamberti, Giorgio Stefani, "Sobolev Subspaces of Nowhere Bounded Functions"
Oswaldo de Oliveira, "The Implicit Function Theorem When the Partial Jacobian Matrix Is Only Continuous at the Base Point"
Joseph L. Gerver, "A Nice Example of Lebesgue Integration"
Chris Freiling, Richard J. O'Malley, Paul D. Humke, "An Alternate Solution to Scottish Book 157"
Chris Freiling, Richard J. O'Malley, Paul D. Humke, "Approximately Continuous Functions Have Approximate Extrema, a New Proof"

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Real Analysis Exchange 42, no. 1
Paul D. Humke
Michigan State University Press Journals, 2017

IN THIS ISSUE

Editorial Messages
Conference Announcements

Plenary Lectures
Miroslav Zelený, Characterizations of σ-Porosity Using Infinite Games
Alica Miller, On Various Conditions that Imply Sensitivity of Monoid Actions
Hajrudin Fejzić, "Divided Differences and Peano Derivatives"
Luisa Di Piazza, "Integrals and Selections of Multifunctions with Values in an Arbitrary Banach Space"

Research Articles
Michael Dymond, Beata Randrianantoanina, Huaqiang Xu, "On Interval Based Generalizations of Absolute Continuity for Functions on Rn"
Changhao Chen, "A Class of Random Cantor Sets"
Silvestru S. Dragomir, "Variance Jensen Type Inequalities for General Lebesgue Integral with Applications"
Carl P. Dettmann, Mrinal Kanti Roychowdhury, "Quantization for Uniform Distributions on Equilateral Triangles"
Vassiliki Farmaki, Andreas Mitropoulos, "The l1-Dichotomy Theorem with Respect to a Coideal"

Inroads
J. Marshall Ash, Stefan Catoiu, "Directional Differentiability in the Euclidean Plane"

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Real Analysis Exchange 42, no. 2
Paul D. Humke
Michigan State University Press Journals, 2017

IN THIS ISSUE

Editorial Messages
Conference Announcements

Topical Surveys
Peter Fletcher, Karel Hrbacek, Vladimir Kanovei, Mikhail G. Katz, Claude Lobry, Sam Sanders, "Approaches to Analysis with Infinitesimals Following Robinson, Nelson, and Others"

Research Articles
Jonathan M. Fraser, Eric J. Olson, James C. Robinson, "Some Results in Support of the Kakeya Conjecture"
Michał Korch, "A Generalized Egorov's Statement for Ideals"
Redouane Sayyad, "The McShane Integral in the Limit"
Grigori A. Karagulyan, "On Exceptional Sets of the Hilbert Transform"
Franklin R. Astudillo-Villaba, René E. Castillo, Julio C. Ramos-Fernández, "Multiplication Operators on the Spaces of Functions of Bounded p-Variation in Wiener's Sense"
Ivan Werner, "On the Carathéodory Approach to the Construction of a Measure"
Vladimir Kanovei, Mikhail Katz, "A Positive Function with Vanishing Lebesgue Integral in Zermelo–Fraenkel Set Theory"
Badreddine Meftah, "On Some Gamidov Integral Inequalities on Time Scales and Applications"

Inroads
Iwo Labuda, "Measure, Category and Convergent Series"
Hajrudin Fejzić, "A Note on Monotonicity Theorems for Approximately Continuous Functions"

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Real Analysis Exchange 43, no. 1
Paul D. Humke
Michigan State University Press Journals, 2018

IN THIS ISSUE

EDITORIAL MESSAGES
CONFERENCE ANNOUNCEMENTS

TOPICAL SURVEY

Tepper L. Gill, "Banach Spaces for the Schwartz Distributions"

PLENARY LECTURES

Juan Bés, "Linear Subspaces of Hypercyclic Vectors"
Bruce Hanson, "Some Results about Big and Little Lip"
Toby C. O'Neil, "Measuring Anisotropy in Planar Sets"

RESEARCH ARTICLES

Jörg Neunhäuserer, "Continued Logarithm Representation of Real Numbers"
George Galvin, "An Elementary Proof of an Isoperimetric Inequality for Paths with Finite p-Variation"
Taras Banakh, "Quasicontinuous Functions with Values in Piotrowski Spaces"
Mrinal Kanti Roychowdhury, "Optimal Quantizers for Some Absolutely Continuous Probability Measures"
Rachel L. Bayless, "Ergodic Properties of Rational Functions that Preserve Lebesgue Measure on R"
Artur Nicolau, "Divided Differences, Square Functions, and a Law of the Iterated Logarithm"
Lorenz Halbeisen, Marc Lischka, Salome Schumacher, "Magic Sets"

INROADS

Z. Y. Zhu, E. M. Dong, "Random Cutouts of the Unit Cube with I.U.D Centers"
Alan Chang, "On the Minkowski Sum of Two Curves"
Alexander Kharazishvili, "A Note on the Uniqueness Property for Borel G-measures"
Andrew M. Bruckner, Krzysztof Chris Ciesielski, "On the Composition of Derivatives"
Hajrudin Fejzić, "A Note on the Luzin-Menchoff Theorem"
José Mendoza, "Which Integrable Functions Fail to be Absolutely Integrable?"

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Real Analysis Exchange 43, no. 2
Paul D. Humke
Michigan State University Press Journals, 2018

In This Issue

Research Articles
Jeremiah J. Bass, "Mycielski-Regularity of Gibbs Measures on Cookie-Cutter Sets"

Sorin G. Gal, "Choquet Integral in Capacity"

Krzysztof Chris Ciesielski, "Minimal Degrees of Genocchi-Peano Functions: Calculus Motivated Number Theoretical Estimates"

Krzysztof Chris Ciesielski, "Lipschitz Restrictions of Continuous Functions and a Simple Construction of Ulam-Zahorski C1 Interpolation"

Pratikshan Mondal, Lakshmi Kanta Dey, and Sk. Jaker Ali, "Equi-Riemann and Equi-Riemann-Type Integrable Functions with Values in a Banach Space"

Olena Karlova and Tomáš Visnyai, "The Baire Classifi cation of Strongly Separately Continuous Functions on ℓ∞"

Jürgen Grahl and Shahar Nevo, "On the Growth of Real Functions and their Derivatives"

Changhao Chen, "Restricted Families of Projections and Random Subspaces"

Krzysztof C. Ciesielski and Juan B. Seoane-Sepúlveda, "Simultaneous Small Coverings by Smooth Functions Under the Covering Property Axiom"

Inroads
Anna K. Savvopoulou and Christopher M. Wedrychowcz, "A Note on Level Sets of Differentiable Functions f(x, y) with Non-Vanishing Gradient"

Benjamin Matson and Elizabeth Sattler, "S-Limited Shifts"

Leonard Huang, "Some Applications of Order-Embeddings of Countable Ordinals into the Real Line"

Oswaldo de Oliveira, "The Implicit Function Theorem for Maps that are Only Differentiable: An Elementary Proof"

Steven G. Krantz, "Uniqueness Properties of Harmonic Functions"

Harvey Rosen, "An Earlier Fractal Graph"

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Real Analysis Exchange 44, no. 1
Paul D. Humke
Michigan State University Press Journals, 2019

In This Issue

Editorial Messages
Conference Announcements
In Memoriam: Harry Miller

Topical Surveys
Tepper L. Gill, Timothy Myers, "Constructive Analysis on Banach Spaces"

Plenary Lectures
Francisco L. Hernández, Evgeny M. Semenov, "Strictly Singular Operators on Banach Lattices"

Vladimir I. Bogachev, "Distribution of Polynomials in Many Variables and Nikolskii–Besov Spaces"

Natalia Kholshchevnikova, "The Union Problem and the Category Problem of Sets of Uniqueness in the Theory of Orthogonal Series"

Research Articles
Riddhi Shah, Alok K. Yadav, "Dynamics of Certain Distal Actions on Spheres"

Horst Alzer, Alexander Kovačec, "The Inequality of Milne and its Converse, III"

Han Yu, "Erdős Semi-groups, Arithmetic Progressions, and Szemerédi's Theorem"

Alexei Yu. Karlovich, "Hardy-Littlewood Maximal Operator on the Associate Space of a Banach Function Space"

Álvaro Corvalán, "Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences"

Panagiotis Georgopoulos, Constantinos Gryllakis, "On the Speed of Convergence in the Strong Density Theorem"

Redouane Sayyad, "The Weak Integral by Partitions of Unity"

Stuart A. Burrell, "On the Dimension and Measure of Inhomogeneous Attractors"

Inroads
Alexander Kharazishvili, "On the Steinhaus Property and Ergodicity via the Measure-Theoretic Density of Sets"

Sandra Lucente, "A Didactic Note on Classic Function Spaces and the Fourier Transform"

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Real Analysis Exchange 44, no. 2
Paul D. Humke
Michigan State University Press Journals, 2019

In This Issue

EDITORIAL MESSAGES
CONFERENCE ANNOUNCEMENTS

RESEARCH ARTICLES
Kathryn E. Hare and Kevin G. Hare, "Local Dimensions of Overlapping Self-Similar Measures"

Henry D. Riely, "A Modication of the Chang-Wilson-Wolff Inequality via the Bellman Function"

S. N. Mukhopadhyay and S. Ray, "Riemann Summability of Trigonometric Series and Riemann Derivatives of Real Functions"

Wahida Kaidouchi, Badreddine Meftah, Meryem Benssaad, and Sarra Ghomrani, "Fractional Hermite-Hadamard Type Integral Inequalities for Functions whose Modulus of the Mixed Derivatives are Co-Ordinated Extended (s1;m1)-(s2;m2)-Preinvex"

Antonio Boccuto, "Hahn-Banach-Type Theorems and Applications to Optimization for Partially Ordered Vector Space-Valued Invariant Operators"

INROADS
Jaroslav Lukeš and Petr Pošta, "Approximations by Differences of Lower Semicontinuous and Finely Continuous Functions"

Rodrigo López Pouso, "Fourier Method Revised to Solve Partial Differential Equations and Prove Uniqueness at One Stroke"

Savita Bhatnagar, "The Radon Nikodym Property and Multipliers of HK-Integrable Functions"

Steven G. Krantz, "Verifying Differentiability Without Calculating the Derivative

Ricky F. Rulete and Mhelmar A. Labendia, "A Descriptive Denition of the Backwards Itô-Henstock Integral"

Fábio M. S. Lima, "A Bridge Between the Unit Square and Single Integrals for Real Functions of the Form f(x • y)"

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Real Analysis Exchange 45, no. 1
Paul D. Humke
Michigan State University Press Journals, 2020

Real Analysis Exchange 45, no. 2
Paul D. Humke
Michigan State University Press Journals, 2020

In This Issue

EDITORIAL MESSAGES
CONFERENCE ANNOUNCEMENTS

PLENARY LECTURES
Eric T. Sawyer, "Recent Developments in Two Weight Testing Theory"

RESEARCH ARTICLES
Claudia V. Ridol, "Best Local Weighted Approximation, an Approach with Abstract Seminorms"

Erik Talvila, "The Continuous Primitive Integral in the Plane"

Krzysztof C. Ciesielski, Pablo Jiménez-Rodríguez, Gustavo A. Muñoz-Fernández, and Juan B. Seoane-Sepúlveda, "Non-Differentiability of the Convolution of Differentiable Real Functions"

Rza Mustafayev and Nevin Bilgiçli, "Boundedness of Weighted Iterated Hardy-Type Operators Involving Suprema from Weighted Lebesgue Spaces into Weighted Cesàro Function Spaces"

T. H. Steele, "The Dynamics of a Typical Measurable Function are Determined on a Zero Measure Set"

Soon-Mo Jung and Doyun Nam, "On the Density of the Thinnest Covering of Rn"

Dariusz Sokolowski, "Stability of n-th Order Flett's and Sahoo-Riedel's Points"

James Foran and Judit Kardos, "Characterizing the Coordinate Functions of Space Filling Curves"

Gerd Herzog and Peer Chr. Kunstmann, "Asymptotic Constants in Averaged Hölder Inequalities"

Absos Ali Shaikh and Biswa Ranjan Datta, "Generalized Almost Statistical Convergence"

Tamás Kátay, "The Intersection of Typical Besicovitch Sets with Lines"

Grzegorz Lewicki, Michael Prophet, and William Wood, "A Note on the Existence of Real Two-Dimensional Symmetric Subspaces of Lp[–1; 1]"

INROADS
Otgonbayar Uuye, "A Generalization of the Riemann-Lebesgue Theorem for Riemann Integrability"

ERRATA
Panagiotis Georgopoulos and Constantinos Gryllakis, "Corrigendum to: On the Speed of Convergence in the Strong Density Theorem"

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Real Analysis Exchange 46, no. 1
Paul D. Humke
Michigan State University Press Journals, 2021

In This Issue
EDITORIAL MESSAGES
RESEARCH ARTICLES
Max Goering, "Characterizations of Countably n-Rectifable Radon Measures by Higher-dimensional Menger Curvatures"

Igor E. Preobrazhenskii, "Suffcient Conditions for Convergence of Riemann Sums for Function Space Defined by the k-Modulus of Continuity"

Veerapazham Murugan and Rajendran Palanivel, "Non-Isolated, Non-Strictly Monotone Points of Iterates of Continuous Functions"

Paweł Barbarski, "Continuous Functions in Rings Generated by a Single Darboux Function"

Oswaldo Rio Branco de Oliveira, "The Exponential Matrix: An Explicit Formula by an Elementary Method"

Liangpan Li, "Open and Surjective Mapping Theorems for Differentiable Maps with Critical Points"

Tiago Canarias, Alexei Karlovich, and Eugene Shargorodsky, "Multiplication Is an Open Bilinear Mapping in the Banach Algebra of Functions of Bounded Wiener p-Variation"

Donát Nagy, "Substituting the Typical Compact Sets into a Power Series"

Jonathan M. Fraser and Han Yu, "Approximate Arithmetic Structure in Large Sets of Integers"

Domenico Candeloro, Anna Rita Sambucini, and Luca Trastulli, "A Girsanov Result for the Pettis Integral"

INROADS
Steen Pedersen and Joseph P. Sjoberg, "Sequential Derivatives"

Konrad J. Swanepoel, "Outer Linear Measure of Connected Sets via Steiner Trees"

Immanuel D. Calunod and I. J. L. Garces, "Strong Derivative and the Essentially Riemann Integral"

Narinder Singh and Surinder Pal Singh Kainth, "Variational Measure with Respect to Measurable Gauges"

Ladislav Mišík and János T. Tóth, "Ideal Extensions of Olivier's Theorem"

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Real Analysis Exchange 46, no. 2
Paul D. Humke
Michigan State University Press Journals, 2021

In This Issue
Editorial Messages
Conference Announcements

OBITUARIES
Richard J. Gardner
Washek Pfeffer, November 14, 1936 – January 3, 2021

Thierry De Pauw
Comments on Washek Pfeffer's Contributions to Integration Theory

Laurent Moonens
Washek Pfeffer's Books on Riemann-Type Integration

Gary Gruenhage
Some Remarks on Washek Pfeffer's Contributions in General Topology

Paul D. Humke
Togo Nishiura, November 10, 1931 – February 12, 2021

RESEARCH ARTICLES
Tomasz Filipczak and Grażyna Horbaczewska
Exceptional Points for Densities Generated by Sequences

Harrison Gaebler
Towards a Characterization of the Property of Lebesgue

Maxim J. Goldberg and Seonja Kim
An Explicit Characterization of the Domain of the Infinitesimal Generator of a Symmetric Diffusion Semigroup on LP of a Complete Positive Sigma-Finite Measure Space

Horst Alzer
Inequalities for Weighted Arithmetic and Geometric Means

Miroslav Repický
Spaces Not Distinguishing Ideal Convergences of Real-Valued Functions, I

Miroslav Repický
Spaces Not Distinguishing Ideal Convergences of Real-Valued Functions, II

Nicholas P. M. Kayban and Xianfu Wang
On Functions Determined by Dense Sets

David Hruška
A Note on Directional Lipschitz Continuity in the Euclidean Plane

Mrinal Kanti Roychowdhury
Optimal Quantization for Mixed Distributions

David de Hevia Rodríguez
On Real Universality in the Birkhoff Sense

INROADS
Marek Bienias and Szymon Głab
Lebesgue Density and Statistical Convergence

Rodolfo E. Maza and Sergio R. Canoy Jr.
On the SL-Integral of LCTVS-Valued Functions

Haipeng Chen and Jonathan M. Fraser
On Hölder Maps and Prime Gaps

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Real Analysis Exchange 47, no. 1
Paul D. Humke
Michigan State University Press Journals, 2022

In This Issue

Editorial Messages
Conference Announcements

Topical Survey
Riccardo Camerlo
Descriptive Set Theory, from Cantor to Wadge and Beyond

Research Articles
Marcus Pivato and Vassili Vergopoulos
Measure and Integration on Boolean Algebras of Regular Open Subsets in a Topological Space

Gertruda Ivanova and Irena Domnik
On Density and σ-Porosity in Some Families of Darboux Functions

Daniel Perry
Lipschitz Homotopy Groups of Contact 3-Manifolds

K. P. S. Bhaskara Rao
Comments on Charges on the Boolean Algebra of Regular Open Sets

Şahin Koçak and Murat Limoncu
Generalized Convexity and Passage from Local to Global via Differential Inequalities

P. Viswanathan
A Brief Exposition of the Space of Relatively Bounded Nonlinear Operators

E. S. Coulam and T. H. Steele
A Characterization of Attractors for Baire Functions on the Interval

Jung-Chao Ban, Chih-Hung Chang, Wen-Guei Hu, Guan-Yu Lai, and Yu-Liang Wu
Topologically Mixing Properties of Multiplicative Integer Systems

João Paulos
On Reflexivity and Point Spectrum

Hüseyin Albayrak, Öznur Ölmez, and Salih Aytar
Some Set Theoretic Operators Preserving Ideal Hausdorff Convergence

Tomas Persson
A Mass Transference Principle and Sets with Large Intersections

Juan Ferrera, Javier Gómez Gil, and Jesús Llorente
Second Order Differentiability and Related Topics in the Takagi Class

Inroads
Martin E. Price
Approximating the Decreasing Rearrangement

Errata
Stuart A. Burrell
Erratum: On the Dimension and Measure of Inhomogeneous Attractors

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Real Analysis Exchange 47, no. 2
Paul D. Humke
Michigan State University Press Journals, 2022

In This Issue
Editorial Messages

Obituaries
Jean Mawhin
Jaroslav Kurzweil (1926-2022)

Research Articles
Immanuel Ben Porat
Convexity In Multivalued Harmonic Functions

Vladimír Baláž, Alain Faisant, and Georges Grekos
On Real Algebras Associated with Ideal Convergence

S. Mahanta and S. Ray
A Generalised Continuous Primitive Integral and Some of its Applications

Ryoki Fukushima, Makoto Nakashima, and Nobuo Yoshida
The Period Group of a Characteristic Function

Ion Chiţescu and Loredana Ioana
A Cantor-Type Construction. Invariant Set and Measure

T. H. Steele
The Density of Borel Sets

Surinder Pal Singh Kainth and Narinder Singh
Henstock-Kurzweil Integration on Metric Spaces Revisited

Idris Assani and Aidan J. Young
Non-Autonomous Spatial-Temporal Differentiation Theorems for Group Endomorphisms

Alina A. Shalukhina
On the Extension of the Reverse Hölder Inequality for Power Functions on the Real Axis

Inroads
Steven G. Krantz
Geometrically Significant Sets of Measure Zero

Clara Ying Yi Lim and Tin Lam Toh
A Note on Henstock-Itô’s Non-Stochastic Integral

Marta Kossaczká and Luděk Zajíček
On the Set of Points at which an Increasing Continuous Singular Function has a Nonzero Finite Derivative

Errata
Riddhi Shah and Alok K. Yadav
Errata: Dynamics of Certain Distal Actions on Spheres

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Real Analysis Exchange 48, no. 1
Paul D. Humke
Michigan State University Press Journals, 2023

IN THIS ISSUE
Editorial Messages
Conference Announcements

Obituaries
Michaela Mlíchová
Recollections about Jaroslav Smítal

Ľubomír Snoha
The Life and Mathematics of Jaroslav Smítal

Plenary Lectures
Zoltán Buczolich
Almost Everywhere Convergence Questions of Series of Translates of Non-Negative Functions

Research Articles
David Cruz-Uribe and Scott Rodney
A Note on the Limit of Orlicz Norms

Antoine Detaille and Augusto C. Ponce
A Decomposition for Borel Measures μ ≤ Hs

M. Bagnara, L. Gennaioli, G. M. Leccese, and E. Luongo
On the Hausdorff Measure of Rn with the Euclidean Topology

István Blahota
Approximation by Subsequences of Matrix Transform Mean of Walsh-Fourier Series

Ahmet Batal, Sadık Eyidoğan, and Haydar Göral
Irreducibility and Primality in Differentiability Classes

O. Karlovych and E. Shargorodsky
Remark on Singular Integral Operators of Convolution Type on Rearrangement-Invariant Banach Function Spaces

G. C. David, M. Kaczanowski, and D. Pinkerton
Quantitative Straightening of Distance Spheres

Inroads
Nathan Dalaklis, Kiko Kawamura, Tobey Mathis, and Michalis Paizanis
The Partial Derivative of Okamoto’s Functions with Respect to the Parameter

Suman Majumdar
Extension of the Continuity Theorems of Lebesgue Integration

Russel A. Gordon and Seán M. Stewart
Evaluating Improper Integrals using Laplace Transforms

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