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Analysis in Banach Spaces : Volume I: Martingales and Littlewood-Paley Theory
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| 概要 | 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-value...d 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.続きを見る |
| 目次 | 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. |
| 冊子版へのリンク | http://hdl.handle.net/2324/1001620683 |
| 本文を見る | Full text available from Springer Mathematics and Statistics eBooks 2016 English/International |
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| 登録日 | 2020.06.27 |
| 更新日 | 2020.06.28 |