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Analysis in Banach spaces.. Volume I,. Martingales and Littlewood-Paley theory

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Analysis in Banach spaces./ by Tuomas Hytonen ... [et al.].
remainder title:	Martingales and Littlewood-Paley theory
other author:	Hytonen, Tuomas.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	xvii, 614 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Banach spaces. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-48520-1
ISBN:	9783319485201

Analysis in Banach spaces.. Volume I,. Martingales and Littlewood-Paley theory
Analysis in Banach spaces.Volume I,Martingales and Littlewood-Paley theory[electronic resource] /Martingales and Littlewood-Paley theoryby Tuomas Hytonen ... [et al.]. - Cham :Springer International Publishing :2016. - xvii, 614 p. :ill., digital ;24 cm. - Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A series of modern surveys in mathematics,v.630071-1136 ;. - Ergebnisse der Mathematik und ihrer Grenzgebiete ;v.57..

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.

ISBN: 9783319485201

Standard No.: 10.1007/978-3-319-48520-1doiSubjects--Topical Terms:

676255
Banach spaces.

LC Class. No.: QA322.2 / .H98 2016

Dewey Class. No.: 515.732

Analysis in Banach spaces.. Volume I,. Martingales and Littlewood-Paley theory
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520 $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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