Mean Oscillations and Equimeasurable Rearrangements of Functions

2007 ed.

by Anatolii A. Korenovskii

Book Details

Format Paperback / Softback

Book Series Lecture Notes of the Unione Matematica Italiana

ISBN-10 3540747087

ISBN-13 9783540747086

Edition 2007 ed.

Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K

Country of Manufacture GB

Country of Publication GB

Publication Date Sep 19th, 2007

Print length 189 Pages

Weight 308 grams

Dimensions 23.10 x 15.60 x 1.20 cms

Product Classification: Calculus & mathematical analysis

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Considers various applications of equimeasurable function rearrangements to the "best constant"- type problems. This volume 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, and Gurov-Reshetnyak, reverse Holder.

This volume considers various applications of equimeasurable function rearrangements to the "best constant"-type problems. It presents several classical theorems along with some very recent results. Coverage includes a product-space extension of the Rising Sun lemma, a product-space version of the John-Nirenberg inequality for bounded mean oscillation functions with sharp exponent, and sharp embedding theorems for Muckenhoupt, Gurov-Reshetnyak, and Gehring classes.

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