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Analysis in Banach Spaces [electronic resource] : Volume I: Martingales and Littlewood-Paley Theory / by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis.
Author
Hytönen, Tuomas
[Browse]
Format
Book
Language
English
Εdition
1st ed. 2016.
Published/Created
Cham : Springer International Publishing : Imprint: Springer, 2016.
Description
1 online resource (XVII, 614 p. 3 illus.)
Availability
Available Online
Springer Nature - Springer Mathematics and Statistics eBooks 2016 English International
SpringerLink Books Mathematics and Statistics
Online Content
Online Content
(Volume 2.)
Details
Subject(s)
Fourier analysis
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Measure theory
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Partial differential equations
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Probabilities
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Functional analysis
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Author
van Neerven, Jan
[Browse]
van Neerven, Jan
[Browse]
Veraar, Mark
[Browse]
Veraar, Mark
[Browse]
Weis, Lutz
[Browse]
Weis, Lutz
[Browse]
van Neerven, Jan
[Browse]
Veraar, Mark
[Browse]
Weis, Lutz
[Browse]
Series
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 63
[More in this series]
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 0071-1136 ; 63
[More in this series]
Summary note
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.
Bibliographic references
Includes bibliographical references and index.
Contents
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.
Show 7 more Contents items
Doi
10.1007/978-3-319-48520-1
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
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Other versions
Analysis in Banach Spaces. Volume I, Martingales and Littlewood-Paley theory.
id
99101353193506421
Analysis in Banach spaces / Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis.
id
99101570113506421