Mean Oscillations and Equimeasurable Rearrangements of Functions, Vol. 4

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.Korenovskii, Anatolii is the author of 'Mean Oscillations and Equimeasurable Rearrangements of Functions, Vol. 4', published 2007 under ISBN 9783540747086 and ISBN 3540747087.