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Mathematics Mean Oscillations and Equimeasurable Rearrangements of Functions (Lecture Notes of the Unione Matematica Italiana)
Posted on 2010-04-13
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Author: Anatolii Korenovskii
Publisher: Springer (2007) Binding: Paperback, 189 pages pricer: $44.95 ISBN-10: 3540747087 editorialreviews 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 H?lder, and Gehring classes, etc. This volume is interesting for graduate students and mathematicians involved with these topics. checked checked no checked
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