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02878nam a22004935i 4500 |
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|a 9783540747093
|9 978-3-540-74709-3
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|a 10.1007/978-3-540-74709-3
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|a QA299.6-433
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|a MAT034000
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|a Korenovskii, Anatolii.
|e author.
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|a Mean Oscillations and Equimeasurable Rearrangements of Functions
|h [electronic resource] /
|c by Anatolii Korenovskii.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2007.
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|a VIII, 189 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
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|a text file
|b PDF
|2 rda
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|a Lecture Notes of the Unione Matematica Italiana,
|x 1862-9113 ;
|v 4
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|a 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.
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|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. .
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|a Mathematics.
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|a Mathematical analysis.
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|a Analysis (Mathematics).
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|a Fourier analysis.
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| 650 |
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|a Functional analysis.
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| 650 |
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|a Mathematics.
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|a Analysis.
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| 650 |
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|a Fourier Analysis.
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|a Functional Analysis.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783540747086
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| 830 |
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|a Lecture Notes of the Unione Matematica Italiana,
|x 1862-9113 ;
|v 4
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|u http://dx.doi.org/10.1007/978-3-540-74709-3
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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