Martingales and Fourier Analysis in Banach Spaces

Part of the Selected Works in Probability and Statistics book series (SWPS)


The power of martingale theory in the study of the Fourier analysis of scalarvalued functions is now widely appreciated. Our aim here is to describe some new martingale methods and their application to the Fourier analysis of functions having values in a Banach space.


Banach Space Singular Integral Operator Sharp Inequality Martingale Difference Sequence Nontangential Maximal Function 


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© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of Mathematics and Department of StatisticsPurdue UniversityWest LafayetteUSA
  2. 2.Department of MathematicsUniversity of IllinoisUrbanaUSA

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