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Analysis in Banach spaces/ Tuomas Hytonen...[et al.].

By: Contributor(s): Material type: TextTextSeries: Ergebnisse der mathematik und ihrer grenzgebiete. 3. folge / a series of modern surveys in mathematics ; v 63.Publication details: Cham : Springer, 2016.Description: volumes : illustrations ; 24 cmISBN:
  • 9783319485195
Subject(s): DDC classification:
  • 515.732  23 H999
Contents:
1. Bochner spaces -- 2. Operators on Bochner spaces -- 3. Martingales -- 4. MUD spaces -- 5. Hilbert transform and Littlewood-Paley theory -- O Open problems -- A Measure theory -- B Banach spaces -- C Interpolation theory -- D Schatten classes.
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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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.732 H999 (Browse shelf(Opens below)) Available 137739
Total holds: 0

Vol 1: Martingales and Littlewood-Paley theory.

Includes bibliographical references and index.

1. Bochner spaces --
2. Operators on Bochner spaces --
3. Martingales --
4. MUD spaces --
5. Hilbert transform and Littlewood-Paley theory --
O Open problems --
A Measure theory --
B Banach spaces --
C Interpolation theory --
D Schatten classes.

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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