Analysis in Banach Spaces : Volume I: Martingales and Littlewood-Paley Theory PDF
by Tuomas Hytonen, Jan van Neerven, Mark Veraar, Lutz Weis
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathemati series
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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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- Format:PDF
- Publisher:Springer International Publishing
- Publication Date:26/11/2016
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- ISBN:9783319485201
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Information
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Download Now
- Format:PDF
- Publisher:Springer International Publishing
- Publication Date:26/11/2016
- Category:
- ISBN:9783319485201