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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Auteur principal : | |
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Format : | Livre |
Langue : | anglais |
Titre complet : | Mean Oscillations and Equimeasurable Rearrangements of Functions / Anatolii Korenovskii. |
Édition : | 1st ed. 2007. |
Publié : |
Berlin, Heidelberg :
Springer Berlin Heidelberg
, [20..] Cham : Springer Nature |
Collection : | Lecture notes of the Unione Matematica Italiana (Internet) ; 4 |
Accès en ligne : |
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Condition d'utilisation et de reproduction : | Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |
Contenu : | 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. |
Sujets : | |
Documents associés : | Autre format:
Mean oscillations and equimeasurable rearrangements of functions Autre format: Mean Oscillations and Equimeasurable Rearrangements of Functions Autre format: Mean oscillations and equimeasurable rearrangements of functions |
Résumé : | 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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Notes : | L'impression du document génère 193 p. |
Bibliographie : | Bibliogr. Index |
ISBN : | 978-3-540-74709-3 |
DOI : | 10.1007/978-3-540-74709-3 |