E-Book, Englisch, Band 4, 189 Seiten, eBook
Korenovskii Mean Oscillations and Equimeasurable Rearrangements of Functions
1. Auflage 2007
ISBN: 978-3-540-74709-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 4, 189 Seiten, eBook
Reihe: Lecture Notes of the Unione Matematica Italiana
ISBN: 978-3-540-74709-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
This volume considers various applications of equimeasurable function rearrangements to the 'best constant'-type problems. It presents several classical theorems along with some very recent results. Coverage includes a product-space extension of the Rising Sun lemma, a product-space version of the John-Nirenberg inequality for bounded mean oscillation functions with sharp exponent, and sharp embedding theorems for Muckenhoupt, Gurov-Reshetnyak, and Gehring classes.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
