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...
| Autor principal: | |
|---|---|
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Berlin ; New York :
Springer
c2007.
|
| Edición: | 1st ed. 2007. |
| Colección: | Lecture notes of the Unione Matematica Italiana ;
4. |
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009462094306719 |
Tabla de Contenidos:
- 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.
