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

• Autore: Hytönen Tuomas
• 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
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910155299603321
• Lo trovi qui: Univ. Federico II
• Serie: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, . 0071-1136 ; ; 63