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: | |
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Formato: | Libro electrónico |
Idioma: | Inglés |
Publicado: |
Berlin ; New York :
Springer
c2007.
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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 |
Sumario: | 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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Notas: | Description based upon print version of record. |
Descripción Física: | 1 online resource (196 p.) |
Bibliografía: | Includes bibliographical references (p. [183]-186) and index. |
ISBN: | 9781281070395 9786611070397 9783540747093 |