Analysis in Banach spaces. Volume I, Martingales and Littlewood-Paley theory /
Saved in:
Author / Creator: | Hytönen, Tuomas, author. |
---|---|
Imprint: | Cham : Springer, 2016. |
Description: | 1 online resource (628 pages) |
Language: | English |
Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; v. 63 Ergebnisse der Mathematik und ihrer Grenzgebiete ; v. 63. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11269719 |
Varying Form of Title: | Martingales and Littlewood-Paley theory |
---|---|
Other authors / contributors: | Neerven, Jan van, 1964- author. Veraar, Mark, author. Weis, Lutz, author. |
ISBN: | 9783319485201 3319485202 3319485199 9783319485195 9783319485195 |
Digital file characteristics: | text file PDF |
Notes: | 4.3.a Reflexivity. Includes bibliographical references and index. Print version record. |
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. |
Other form: | Print version: Hytönen, Tuomas. Analysis in Banach Spaces : Volume I: Martingales and Littlewood-Paley Theory. Cham : Springer International Publishing, ©2016 9783319485195 |
Standard no.: | 10.1007/978-3-319-48520-1 |
Similar Items
-
Polar wavelets and associated Littlewood-Paley theory /
by: Epperson, Jay
Published: (1996) -
Weighted Littlewood-Paley theory and exponential-square integrability /
by: Wilson, Michael, 1955-
Published: (2008) -
Weighted Littlewood-Paley theory and exponential-square integrability /
by: Wilson, Michael, 1955-
Published: (2008) -
Recent developments in the theory of Lorentz spaces and weighted inequalities /
by: Carro, María J., 1961-
Published: (2007) -
Littlewood-Paley theory on spaces of homogeneous type and the classical function spaces /
by: Han, Yongsheng
Published: (1994)