Mean Oscillations and Equimeasurable Rearrangements of Functions
| By: | Anatolii A. Korenovskii |
| Publisher: | Springer Nature |
| Print ISBN: | 9783540747086 |
| eText ISBN: | 9783540747093 |
| Edition: | 0 |
| Copyright: | 2007 |
| Format: | Page Fidelity |
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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.