Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes of the Unione Matematica Italiana (UMILN, volume 4)
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About this book
Various applications of equimeasurable function rearrangements to the ''best constant"-type problems are considered in this volume. Several classical theorems are presented along with some very recent results. In particular, the text includes a product-space extension of the Rising Sun lemma, a product-space version of the John-Nirenberg inequality for bounded mean oscillation (BMO) functions with sharp exponent, a refinement of the Gurov-Reshetnyak lemma, sharp embedding theorems for Muckenhoupt, Gurov-Reshetnyak, reverse Hölder, and Gehring classes, etc. This volume is interesting for graduate students and mathematicians involved with these topics.
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Table of contents (5 chapters)
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Front Matter
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Back Matter
Reviews
From the reviews:
"This book is devoted to classes (spaces) of functions that can be described in terms of mean oscillations. … The sharp constants in the corresponding relations have been found in a number of works by the author of the book under review and his students; these works form the core of the present book. … The book is well written. We mention that it contains many examples with full and very careful calculations. … a good and convenient source for anyone interested in the area." (Andrei K. Lerner, Mathematical Reviews, Issue 2008 k)
Authors and Affiliations
Bibliographic Information
Book Title: Mean Oscillations and Equimeasurable Rearrangements of Functions
Authors: Anatolii Korenovskii
Series Title: Lecture Notes of the Unione Matematica Italiana
DOI: https://doi.org/10.1007/978-3-540-74709-3
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2007
Softcover ISBN: 978-3-540-74708-6Published: 19 September 2007
eBook ISBN: 978-3-540-74709-3Published: 12 September 2007
Series ISSN: 1862-9113
Series E-ISSN: 1862-9121
Edition Number: 1
Number of Pages: VIII, 189
Topics: Analysis, Fourier Analysis, Functional Analysis