Analysis in Banach Spaces [[electronic resource] ] : Volume I: Martingales and Littlewood-Paley Theory / / by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis
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| Autore: |
Hytönen Tuomas
|
| Titolo: |
Analysis in Banach Spaces [[electronic resource] ] : Volume I: Martingales and Littlewood-Paley Theory / / by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis
|
| 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 |
| Opac: | Controlla la disponibilità qui |
Serie:
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, . 0071-1136 ; ; 63