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.
Product details
- Hardback | 614 pages
- 155 x 235 x 35.05mm | 10,636.74g
- 22 Dec 2016
- Springer International Publishing AG
- Cham, Switzerland
- English
- 1st ed. 2016
- 3 Illustrations, black and white; XVII, 614 p. 3 illus.
- 3319485199
- 9783319485195
- 2,265,858
Download Analysis in Banach Spaces : Volume I: Martingales and Littlewood-Paley Theory (9783319485195).pdf, available at laboraeditions.com for free.
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