Erschienen: 22.12.2016 Abbildung von Hytönen / van Neerven | Analysis in Banach Spaces | 1. Auflage | 2016 | 63 | beck-shop.de

Hytönen / van Neerven / Veraar

Analysis in Banach Spaces

Volume I: Martingales and Littlewood-Paley Theory

Buch. Hardcover

1st ed. 2016. 2016

xvii, 614 S. 3 s/w-Abbildungen, Bibliographien.

In englischer Sprache

Springer. ISBN 978-3-319-48519-5

Format (B x L): 15,5 x 23,5 cm

Gewicht: 1105 g

Produktbeschreibung

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.

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