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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...
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| Auteur principal : | |
|---|---|
| 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 |
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| 200 | 1 | |a Mean Oscillations and Equimeasurable Rearrangements of Functions |f Anatolii Korenovskii. | |
| 205 | |a 1st ed. 2007. | ||
| 214 | 0 | |a Berlin, Heidelberg |c Springer Berlin Heidelberg | |
| 214 | 2 | |a Cham |c Springer Nature |d [20..] | |
| 225 | 0 | |a Lecture Notes of the Unione Matematica Italiana |x 1862-9121 |v 4 | |
| 303 | |a L'impression du document génère 193 p. | ||
| 320 | |a Bibliogr. Index | ||
| 327 | 1 | |a Preface |a 1.Preliminaries and auxilliary results |a 2. Properties of oscillations and the definition of the BMO-class |a 3.Estimates of rearrangements and the John-Nirenberg theorem |a 4.The BMO-estimates of the Hardy-type transforms |a 5.The Gurov-Reshetnyak class of functions |a Appendix: A.The boundedness of the Hardy-Littlewood maximal operator from BMO into BLO |a B.The weighted analogs of the Riesz lemma and the Gurov-Reshetnyak theorem |a C.Classes of functions satisfying the reverse Hölder inequality |a References |a Index. | |
| 330 | |a 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. . | ||
| 371 | 0 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | |
| 371 | 0 | |a Accès soumis à abonnement pour tout autre établissement | |
| 371 | 1 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales |c https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | |
| 410 | | | |0 158325990 |t Lecture notes of the Unione Matematica Italiana (Internet) |x 1862-9121 |v 4 | |
| 452 | | | |0 129616419 |t Mean oscillations and equimeasurable rearrangements of functions |f Anatolii Korenovskii |c Berlin |n Springer |d 2007 |p 1 vol. (viii-188 p.) |s Lecture notes of the Unione Matematica Italiana |y 978-3-540-74708-6 | |
| 452 | | | |t Mean Oscillations and Equimeasurable Rearrangements of Functions |b Texte imprimé |y 9783540843351 | |
| 452 | | | |0 129616419 |t Mean oscillations and equimeasurable rearrangements of functions |f Anatolii Korenovskii |c Berlin |n Springer |d 2007 |p 1 vol. (viii-188 p.) |s Lecture notes of the Unione Matematica Italiana |y 978-3-540-74708-6 | |
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