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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...
| Call Number: | Libro Electrónico |
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| Main Author: | |
| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2007.
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| Edition: | 1st ed. 2007. |
| Series: | Lecture Notes of the Unione Matematica Italiana,
4 |
| Subjects: | |
| Online Access: | Texto Completo |
Table of Contents:
- Preface
- 1.Preliminaries and auxilliary results
- 2. Properties of oscillations and the definition of the BMO-class
- 3.Estimates of rearrangements and the John-Nirenberg theorem
- 4.The BMO-estimates of the Hardy-type transforms
- 5.The Gurov-Reshetnyak class of functions
- Appendix: A.The boundedness of the Hardy-Littlewood maximal operator from BMO into BLO
- B.The weighted analogs of the Riesz lemma and the Gurov-Reshetnyak theorem
- C.Classes of functions satisfying the reverse Hölder inequality
- References
- Index.