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Analysis in Banach Spaces : Volume I: Martingales and Littlewood-Paley Theory / / by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis



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Autore: Hytönen Tuomas Visualizza persona
Titolo: Analysis in Banach Spaces : Volume I: Martingales and Littlewood-Paley Theory / / by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Edizione: 1st ed. 2016.
Descrizione fisica: 1 online resource (XVII, 614 p. 3 illus.)
Disciplina: 510
Soggetto topico: Fourier analysis
Measure theory
Partial differential equations
Probabilities
Functional analysis
Fourier Analysis
Measure and Integration
Partial Differential Equations
Probability Theory and Stochastic Processes
Functional Analysis
Persona (resp. second.): van NeervenJan
VeraarMark
WeisLutz
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Analysis in Banach Spaces  Visualizza cluster
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910155299603321
Lo trovi qui: Univ. Federico II
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Serie: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, . 0071-1136 ; ; 63