Applications of multi-parameter martingales in fourier analysis

Research output: Contribution to journalArticle

Abstract

With the help of the theory of multi-parameter martingales we prove almost everywhere convergence of the Fejér means of two-dimensional WalshFourier series of f ∈ L log L.

Original languageEnglish
Pages (from-to)551-568
Number of pages18
JournalStochastics and Dynamics
Volume11
Issue number2-3
DOIs
Publication statusPublished - Sep 1 2011

Keywords

  • Fejér summability
  • Two-parameter martingales
  • Walsh functions
  • atomic decomposition
  • atoms
  • interpolation
  • martingale Hardy spaces

ASJC Scopus subject areas

  • Modelling and Simulation

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