By Anatolii A. Korenovskii

ISBN-10: 3540747087

ISBN-13: 9783540747086

Various functions of equimeasurable functionality rearrangements to the “best constant”-type difficulties are thought of during this quantity. numerous classical theorems are offered in addition to a few very contemporary effects. specifically, the textual content features a product-space extension of the emerging solar lemma, a product-space model of the John-Nirenberg inequality for bounded suggest oscillation (BMO) capabilities with sharp exponent, a refinement of the Gurov-Reshetnyak lemma, sharp embedding theorems for Muckenhoupt, Gurov-Reshetnyak, opposite H?lder, and Gehring periods, and so on. This quantity is attention-grabbing for graduate scholars and mathematicians concerned with those topics.