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|a 9783540747093
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|a Korenovskii, Anatolii A.
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|a Mean Oscillations and Equimeasurable Rearrangements of Functions
|h Elektronische Ressource
|c by Anatolii A. Korenovskii
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| 250 |
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|a 1st ed. 2007
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2007, 2007
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|a VIII, 189 p
|b online resource
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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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| 653 |
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|a Functional analysis
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| 653 |
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|a Mathematical analysis
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| 653 |
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|a Functional Analysis
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| 653 |
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|a Fourier Analysis
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| 653 |
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|a Analysis
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| 653 |
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|a Fourier analysis
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|a eng
|2 ISO 639-2
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|b Springer
|a Springer eBooks 2005-
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|a Lecture Notes of the Unione Matematica Italiana
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|a 10.1007/978-3-540-74709-3
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|u https://doi.org/10.1007/978-3-540-74709-3?nosfx=y
|x Verlag
|3 Volltext
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|a 515
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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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