Analysis in Banach spaces. Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis, authors. Volume I, Martingales and Littlewood-Paley theory /
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 evolut...
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| Main Authors: | , , , |
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| Format: | Ebook |
| Language: | English |
| Published: |
Cham :
Springer,
2016.
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| Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete ;
v. 63. |
| Subjects: | |
| Online Access: | Springer eBooks |
| 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: | 3319485199 9783319485195 3319485202 9783319485201 |