Korenovskii, A: Mean Oscillations
(Sprache: Englisch)
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...
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Klappentext zu „Korenovskii, A: Mean Oscillations “
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.
Inhaltsverzeichnis zu „Korenovskii, A: Mean Oscillations “
- Preliminaries and Auxiliary Results- Properties of Oscillations and the Definition of the BMO-class
- Estimates of Rearrangements and the John-Nirenberg Theorem
- The BMO-estimates of the Hardy-type Transforms
- The Gurov-Reshetnyak Class of Functions
Bibliographische Angaben
- Autor: Anatolii Korenovskii
- 2007, VIII, 188 Seiten, Maße: 15,7 x 23,6 cm, Kartoniert (TB), Englisch
- Verlag: Springer Berlin
- ISBN-10: 3540747087
- ISBN-13: 9783540747086
- Erscheinungsdatum: 19.09.2007
Sprache:
Englisch
Rezension zu „Korenovskii, A: Mean Oscillations “
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)
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