Mean Oscillations and Equimeasurable Rearrangements of Functions
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 Su...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
2007.
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| Series: | Lecture Notes of the Unione Matematica Italiana,
4 |
| Subjects: | |
| Online Access: | Full Text via HEAL-Link |
| Summary: | 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 Hölder, and Gehring classes, etc. This volume is interesting for graduate students and mathematicians involved with these topics. . |
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| Physical Description: | VIII, 189 p. online resource. |
| ISBN: | 9783540747093 |
| ISSN: | 1862-9113 ; |
