Analysis in Banach Spaces Volume I: Martingales and Littlewood-Paley Theory By: Tuomas Hytönen; Jan van Neerven; Mark Veraar; Lutz Weis Publisher: Springer Print ISBN: 9783319485195, 3319485199 eText ISBN: 9783319485201, 3319485202 Copyright year: 2016 Format: PDF Available from $ 109.00 USD SKU: 9783319485201 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. SKU: 9783319485195 Ebooks here: https://ebookscoffee.sellpass.io/products/Analysis-in-Banach-Spaces
