Marie Curie Library Catalogue beta
Analysis in Banach spaces. Volume I, Martingales and Littlewood-Paley theory / Tuomas Hytönen [and three others].
Cham : Springer, c2016.
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge ; Bd. 63
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.