Mean Oscillations and Equimeasurable Rearrangements of Functions
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
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