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Catalogue Information
Field name	Details
Dewey Class	515.2433
Title	Analysis in Banach Spaces ([EBook]) : Volume I: Martingales and Littlewood-Paley Theory / by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis.
Author	Hytönen, Tuomas
Added Personal Name	Neerven, Jan van , 1964-
	Veraar, Mark
	Weis, Lutz
Other name(s)	SpringerLink (Online service)
Publication	Cham : Springer International Publishing , 2016.
Physical Details	XVII, 614 pages, 3 illus. : online resource.
Series	Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics 0071-1136 ; ; 63
ISBN	9783319485201
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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	https://dx.doi.org/10.1007/978-3-319-48520-1
Links to Related Works	Subject References: Fourier Analysis . Functional Analysis . Measure and Integration . Measure theory . Partial differential equations . Probabilities . Probability theory and stochastic processes . Authors: author . Hytönen, Tuomas . Neerven, Jan van 1964- . Veraar, Mark . Weis, Lutz . Corporate Authors: SpringerLink (Online service) . Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics . Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics . Classification: 515.243 . 515.2433 .

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Analysis in Banach Sapces: Volume I: Martingales and Littlewood-Paley Theory

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