Analysis in Banach Spaces
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Produktnummer:
9783319839615
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.
Autor: | Hytönen, Tuomas Weis, Lutz Veraar, Mark Neerven, Jan Van |
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EAN: | 9783319839615 |
Sprache: | Englisch |
Seitenzahl: | 632 |
Produktart: | kartoniert, broschiert |
Verlag: | Springer International Publishing Springer Nature Switzerland |
Veröffentlichungsdatum: | 07.07.2018 |
Untertitel: | Volume I: Martingales and Littlewood-Paley Theory |
Größe: | 34 × 155 × 235 |
Gewicht: | 943 g |