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03433nam a22005655i 4500 |
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978-3-319-48520-1 |
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DE-He213 |
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20171007141005.0 |
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cr nn 008mamaa |
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161128s2016 gw | s |||| 0|eng d |
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|a 9783319485201
|9 978-3-319-48520-1
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|a 10.1007/978-3-319-48520-1
|2 doi
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|a QA403.5-404.5
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|a MAT034000
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|a 515.2433
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|a Hytönen, Tuomas.
|e author.
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|a Analysis in Banach Spaces
|h [electronic resource] :
|b Volume I: Martingales and Littlewood-Paley Theory /
|c by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2016.
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|a XVII, 614 p. 3 illus.
|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 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics,
|x 0071-1136 ;
|v 63
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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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|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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| 650 |
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|a Mathematics.
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| 650 |
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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 Measure theory.
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| 650 |
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|a Partial differential equations.
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| 650 |
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|a Probabilities.
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4 |
|a Mathematics.
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|a Fourier Analysis.
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| 650 |
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|a Measure and Integration.
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| 650 |
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|a Partial Differential Equations.
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| 650 |
2 |
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|a Probability Theory and Stochastic Processes.
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| 650 |
2 |
4 |
|a Functional Analysis.
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| 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.
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
0 |
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|t Springer eBooks
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| 776 |
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8 |
|i Printed edition:
|z 9783319485195
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| 830 |
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|a Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics,
|x 0071-1136 ;
|v 63
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| 856 |
4 |
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|u http://dx.doi.org/10.1007/978-3-319-48520-1
|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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