Mean Oscillations and Equimeasurable Rearrangements of Functions

Publisher: Springer
Language: English
ISBN: 3540747087
Paperback: 189 pages
Data: Oct 2007
Format: PDF
Description: 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 H?lder, and Gehring classes, etc. This volume is interesting for graduate students and mathematicians involved with these topics.

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