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Analysis in Banach Spaces = Volume I: Martingales and Littlewood-Paley Theory /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Analysis in Banach Spaces / by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis.
其他題名:	Volume I: Martingales and Littlewood-Paley Theory /
作者:	Hytönen, Tuomas.
其他作者:	van Neerven, Jan.
面頁冊數:	XVII, 614 p. 3 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Fourier Analysis. -
電子資源:	https://doi.org/10.1007/978-3-319-48520-1
ISBN:	9783319485201

Analysis in Banach Spaces = Volume I: Martingales and Littlewood-Paley Theory /
Hytönen, Tuomas.

Analysis in Banach Spaces Volume I: Martingales and Littlewood-Paley Theory /[electronic resource] :by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis. - 1st ed. 2016. - XVII, 614 p. 3 illus.online resource. - Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics,630071-1136 ;. - Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics,63.

1.Bochner Spaces -- 2.Operators on Bochner Spaces -- 3.Martingales -- 4.UMD spaces -- 5. Hilbert transform and Littlewood-Paley Theory -- 6.Open Problems -- A.Mesaure Theory -- B.Banach Spaces -- C.Interpolation Theory -- D.Schatten classes.

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.

ISBN: 9783319485201

Standard No.: 10.1007/978-3-319-48520-1doiSubjects--Topical Terms:

672627
Fourier Analysis.

LC Class. No.: QA403.5-404.5

Dewey Class. No.: 515.2433

Analysis in Banach Spaces = Volume I: Martingales and Littlewood-Paley Theory /
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