Hidden Bibliographic Details
| Varying Form of Title: | Martingales and Littlewood-Paley theory
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| Other authors / contributors: | Neerven, Jan van, 1964- author.
Veraar, Mark, author.
Weis, Lutz, author.
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| ISBN: | 9783319485201
3319485202
3319485199
9783319485195
9783319485195
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| Digital file characteristics: | text file PDF
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| Notes: | 4.3.a Reflexivity.
Includes bibliographical references and index.
Print version record.
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| 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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| Other form: | Print version: Hytönen, Tuomas. Analysis in Banach Spaces : Volume I: Martingales and Littlewood-Paley Theory. Cham : Springer International Publishing, ©2016 9783319485195
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| Standard no.: | 10.1007/978-3-319-48520-1
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