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161202 ||| eng |
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|a 9783319485201
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| 100 |
1 |
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|a Hytönen, Tuomas
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| 245 |
0 |
0 |
|a Analysis in Banach Spaces
|h Elektronische Ressource
|b Volume I: Martingales and Littlewood-Paley Theory
|c by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis
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| 250 |
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|a 1st ed. 2016
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| 260 |
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|a Cham
|b Springer International Publishing
|c 2016, 2016
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| 300 |
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|a XVII, 614 p. 3 illus
|b online resource
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| 505 |
0 |
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|a 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
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| 653 |
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|a Functional analysis
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| 653 |
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|a Measure theory
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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 Probability Theory
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| 653 |
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|a Measure and Integration
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| 653 |
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|a Differential Equations
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| 653 |
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|a Differential equations
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| 653 |
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|a Probabilities
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| 653 |
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|a Fourier analysis
|
| 700 |
1 |
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|a van Neerven, Jan
|e [author]
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| 700 |
1 |
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|a Veraar, Mark
|e [author]
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| 700 |
1 |
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|a Weis, Lutz
|e [author]
|
| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
|
| 989 |
|
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|b Springer
|a Springer eBooks 2005-
|
| 490 |
0 |
|
|a Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
|
| 028 |
5 |
0 |
|a 10.1007/978-3-319-48520-1
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| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-319-48520-1?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 515.2433
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| 520 |
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|a 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
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