Mean Oscillations and Equimeasurable Rearrangements of Functions

• Κύριος συγγραφέας: Korenovskii, Anatolii (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Σειρά: Lecture Notes of the Unione Matematica Italiana, 4
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Fourier analysis.; Functional analysis.; Analysis.; Fourier Analysis.; Functional Analysis.

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...

Πίνακας περιεχομένων:

• 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.