Description: Analysis in Banach Spaces : Martingales and Littlewood-paley Theory, Hardcover by Hytönen, Tuomas; Van Neerven, Jan; Veraar, Mark; Weis, Lutz, ISBN 3319485199, ISBN-13 9783319485195, Brand New, Free shipping in the US
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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Book Title: Analysis in Banach Spaces : Martingales and Littlewood-paley Theo
Number of Pages: Xvii, 614 Pages
Publication Name: Analysis in Banach Spaces : Volume I: Martingales and Littlewood-Paley Theory
Language: English
Publisher: Springer International Publishing A&G
Publication Year: 2016
Subject: Differential Equations / General, Functional Analysis, Probability & Statistics / General, Mathematical Analysis
Type: Textbook
Item Weight: 375.2 Oz
Subject Area: Mathematics
Item Length: 9.3 in
Author: Tuomas Hytönen, Lutz Weis, Jan Van Neerven, Mark Veraar
Item Width: 6.1 in
Series: Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3. Folge / a Series of Modern Surveys in Mathematics Ser.
Format: Hardcover