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  Record Format   Book  
  Shelf Number   517.982.2 HYT  
  Author   Hytönen, Tuomas.  
  Title   Analysis in Banach spaces. Volume I, Martingales and Littlewood-Paley theory / Tuomas Hytönen [and three others].  
  Alternate Title   Martingales and Littlewood-Paley theory  
  Imprint   Cham : Springer, c2016.  
  Collation   xvi, 614 pages ;  24 cm.  
  Bibliography Note   Includes bibliographical references and index.  
  Description   "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."--Publisher.  
  Series   Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge ; Bd. 63  
  Author(s)/Contrib.   Neerven, Jan van.  
    Veraar, Mark.  
    Weis, Lutz.  
  Subjects   Banach spaces.  
    Littlewood-Paley theory.  
    Martingales (Mathematics)  
  ISBN   9783319485195 hardback  
  Record Number   000112498  
  Digital Object    cover   
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