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Mean Oscillations and Equimeasurable Rearrangements of Functions / by Anatolii A. Korenovskii
(Lecture Notes of the Unione Matematica Italiana. ISSN:18629121 ; 4)
Edition | 1st ed. 2007. |
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Publisher | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Year | 2007 |
Language | English |
Size | VIII, 189 p : online resource |
Authors | *Korenovskii, Anatolii A author SpringerLink (Online service) |
Subjects | LCSH:Mathematical analysis LCSH:Fourier analysis LCSH:Functional analysis FREE:Analysis FREE:Fourier Analysis FREE:Functional Analysis |
Notes | 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 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. HTTP:URL=https://doi.org/10.1007/978-3-540-74709-3 |
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E-Book | Location | Media type | Volume | Call No. | Status | Reserve | Comments | ISBN | Printed | Restriction | Designated Book | Barcode No. |
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E-Book | オンライン | 電子ブック |
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Springer eBooks | 9783540747093 |
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EB00234147 |
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Material Type | E-Book |
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Classification | LCC:QA299.6-433 DC23:515 |
ID | 4000117402 |
ISBN | 9783540747093 |
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