Analysis in Banach spaces. Volume I, Martingales and Littlewood-Paley theory /
Author / Creator: | Hytönen, Tuomas, author. |
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Imprint: | Cham : Springer, 2016. |
Description: | 1 online resource (628 pages) |
Language: | English |
Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; v. 63 Ergebnisse der Mathematik und ihrer Grenzgebiete ; v. 63. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11269719 |
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. |
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Item Description: | 4.3.a Reflexivity. |
Physical Description: | 1 online resource (628 pages) |
Bibliography: | Includes bibliographical references and index. |
ISBN: | 9783319485201 3319485202 3319485199 9783319485195 |