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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
Published
Cham : Springer International Publishing : Imprint: Springer, 2016.
Physical Description
XVII, 614 pages 3 illustrations : online resource
Additional Creators
Neerven, Jan van, 1964-, Veraar, Mark, Weis, Lutz, and SpringerLink (Online service)
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Series
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.
Summary
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.
Subject(s)
ISBN
9783319485201
Digital File Characteristics
text file PDF
Part Of
Springer eBooks
View MARC record | catkey: 19160350