Mean Oscillations and Equimeasurable Rearrangements of Functions
Publication year: 2007
ISBN: 978-3-540-74709-3
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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.
Subject: Mathematics and Statistics, Gurov – Reshetnyak classes, Maximum, bounded mean oscillation, bounded mean oscillation (BMO), equimeasurable rearrangements of functions, mean oscillation, reverse Hölder inequalities
