Mean Oscillations and Equimeasurable Rearrangements of Functions

  • Anatolii Korenovskii

Part of the Lecture Notes of the Unione Matematica Italiana book series (UMILN, volume 4)

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.



Gurov – Reshetnyak classes Maximum bounded mean oscillation bounded mean oscillation (BMO) equimeasurable rearrangements of functions mean oscillation reverse Hölder inequalities

Authors and affiliations

  • Anatolii Korenovskii
    • 1
  1. 1.Institute of Mathematics, Economics and MechanicsOdessa National I.I. Mechnikov UniversityOdessaUkraine

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-74708-6
  • Online ISBN 978-3-540-74709-3
  • Series Print ISSN 1862-9113
  • Buy this book on publisher's site
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