| Analysis in Banach Spaces: Volume I: Martingales and Littlewood-Paley Theory Softcover Repri Edition Contributor(s): Hytönen, Tuomas (Author), Van Neerven, Jan (Author), Veraar, Mark (Author) |
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ISBN: 3319839616 ISBN-13: 9783319839615 Publisher: Springer OUR PRICE: $189.99 Product Type: Paperback - Other Formats Published: July 2018 |
| Additional Information |
| BISAC Categories: - Mathematics | Mathematical Analysis - Mathematics | Functional Analysis - Mathematics | Differential Equations - General |
| Dewey: 515.243 |
| Series: Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge / |
| Physical Information: 1.28" H x 6.14" W x 9.21" (1.93 lbs) 614 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |