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eBook details

• Title: Mean Oscillations and Equimeasurable Rearrangements of Functions
• Author : Anatolii A. Korenovskii
• Release Date : January 12, 2007
• Genre: Mathematics,Books,Science & Nature,
• Pages : * pages
• Size : 7351 KB

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 Hölder, and Gehring classes, etc. This volume is interesting for graduate students and mathematicians involved with these topics.

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