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517.982.2 HYT
Analysis in Banach spaces. Volume I, Martingales and Littlewood-Paley theory / Tuomas Hytönen [and three others].

Hytönen, Tuomas.
Neerven, Jan van.
Veraar, Mark.
Weis, Lutz.
Cham : Springer, c2016.
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge ; Bd. 63
Banach spaces.
Littlewood-Paley theory.
Martingales (Mathematics)
Martingales and Littlewood-Paley theory
"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."--Publisher.
xvi, 614 pages ;  24 cm.
Includes bibliographical references and index.
9783319485195 hardback