Mean Oscillations and Equimeasurable Rearrangements of Functions

Anatolii A Korenovskii author

Format:Paperback

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

Published:19th Sep '07

Currently unavailable, and unfortunately no date known when it will be back

Mean Oscillations and Equimeasurable Rearrangements of Functions cover

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.

From the reviews:

"This book is devoted to classes (spaces) of functions that can be described in terms of mean oscillations. … The sharp constants in the corresponding relations have been found in a number of works by the author of the book under review and his students; these works form the core of the present book. … The book is well written. We mention that it contains many examples with full and very careful calculations. … a good and convenient source for anyone interested in the area." (Andrei K. Lerner, Mathematical Reviews, Issue 2008 k)

ISBN: 9783540747086

Dimensions: unknown

Weight: unknown

189 pages