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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Detalles Bibliográficos
Autor principal: Korenovskii, Anatolii (-)
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
Descripción
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. .
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