Mean Oscillations and Equimeasurable Rearrangements of Functions
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.
196 pages; ISBN 9783540747093
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Title: Mean Oscillations and Equimeasurable Rearrangements of Functions
Author: Anatolii A. Korenovskii
IB Mathematical Studies Standard 2012 US$ 58.40 624 pages
IB Mathematics Standard Level 2012 US$ 64.80 805 pages