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Analysis in Banach Spaces : Volume I: Martingales and Littlewood-Paley Theory / by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis
(Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics. ISSN:21975655 ; 63)
版 | 1st ed. 2016. |
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出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2016 |
本文言語 | 英語 |
大きさ | XVII, 614 p. 3 illus : online resource |
著者標目 | *Hytönen, Tuomas author van Neerven, Jan author Veraar, Mark author Weis, Lutz author SpringerLink (Online service) |
件 名 | LCSH:Fourier analysis LCSH:Measure theory LCSH:Differential equations LCSH:Probabilities LCSH:Functional analysis FREE:Fourier Analysis FREE:Measure and Integration FREE:Differential Equations FREE:Probability Theory FREE:Functional Analysis |
一般注記 | 1.Bochner Spaces -- 2.Operators on Bochner Spaces -- 3.Martingales -- 4.UMD spaces -- 5. Hilbert transform and Littlewood-Paley Theory -- 6.Open Problems -- A.Mesaure Theory -- B.Banach Spaces -- C.Interpolation Theory -- D.Schatten classes The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years, motivated by regularity problems in evolution equations, there has been tremendous progress in the analysis of Banach space-valued functions and processes. The contents of this extensive and powerful toolbox have been mostly scattered around in research papers and lecture notes. Collecting this diverse body of material into a unified and accessible presentation fills a gap in the existing literature. The principal audience that we have in mind consists of researchers who need and use Analysis in Banach Spaces as a tool for studying problems in partial differential equations, harmonic analysis, and stochastic analysis. Self-contained and offering complete proofs, this work is accessible to graduate students and researchers with a background in functional analysis or related areas HTTP:URL=https://doi.org/10.1007/978-3-319-48520-1 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783319485201 |
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EB00238908 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA403.5-404.5 DC23:515.2433 |
書誌ID | 4000115844 |
ISBN | 9783319485201 |
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※2017年9月4日以降