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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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Main Authors: Hytönen, Tuomas. (Author, http://id.loc.gov/vocabulary/relators/aut), van Neerven, Jan. (http://id.loc.gov/vocabulary/relators/aut), Veraar, Mark. (http://id.loc.gov/vocabulary/relators/aut), Weis, Lutz. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 63
Subjects:
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.
Online Access:https://doi.org/10.1007/978-3-319-48520-1
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.

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