Analysis in Banach Spaces / Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis.

Format:

Book

Author/Creator:

Hytönen, Tuomas, author.

Neerven, Jan van, 1964- author.

Veraar, Mark, author.

Weis, Lutz, author.

Series:

Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. 63.

Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3 Folge, Bd. 67.

Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge = A series of modern surveys in mathematics, third sequence ; volume 63, 67

Language:

English

Subjects (All):

Banach spaces.

Physical Description:

<2> volumes : illustrations ; 24 cm.

Place of Publication:

Cham, Switzerland : Springer, [2016]-

Summary:

"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's description for v. 1.

Contents:

Volume 1. Martingales and Littlewood-Paley theory

Volume 2. Probabilistic methods and operator theory

Notes:

"The present volume develops the theory of Bochner integration ... Volume II will present a thorough study of the basic randomisation techniques ... [S]tochastic parabolic evolution equations, which will be the subject matter of Volume III."--Preface.

Includes bibliographical references and index.

ISBN:

9783319485195

3319485199

9783319698076

3319698079

OCLC:

959804599