Analysis in Banach Spaces Volume I: Martingales and Littlewood-Paley Theory

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 evolut...

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Bibliographic Details
Main Authors: Hytönen, Tuomas, van Neerven, Jan (Author), Veraar, Mark (Author), Weis, Lutz (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2016, 2016
Edition:1st ed. 2016
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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