Mean Oscillations and Equimeasurable Rearrangements of Functions

Name: Mean Oscillations and Equimeasurable Rearrangements of Functions
Brand: Springer Nature
SKU: 9783540747086
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Springer Nature

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9783540747086

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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 Hlder, and Gehring classes, etc. This volume is interesting for graduate students and mathematicians involved with these topics.

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