{"product_id":"9783319839615","title":"Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge \/ A Series of Modern Surveys in Mathematics: Volume I: Martingales and Littlewood-Paley Theory","description":"\u003ch1\u003eErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge \/ A Series of Modern Surveys in Mathematics: Volume I: Martingales and Littlewood-Paley Theory\u003c\/h1\u003e \u003ch2\u003eHytönen, Tuomas; van Neerven, Jan; Veraar, Mark; Weis, Lutz\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe 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. \u003c\/p\u003e  \u003cp\u003eOver 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. \u003c\/p\u003e  \u003cp\u003eThe 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2018-07-07\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319839615\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-48520-1\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 614\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45378901475468,"sku":"9783319839615","price":179.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319839615.jpg?v=1775709795","url":"https:\/\/lateknightbooks.com\/products\/9783319839615","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}