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Some martingale inequalities with applications to harmonic analysis

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Publication:916203
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DOI10.1016/0022-1236(89)90008-6zbMath0703.60044OpenAlexW1979792375MaRDI QIDQ916203

Richard F. Gundy

Publication date: 1989

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(89)90008-6


zbMATH Keywords

maximal functionBrownian motion


Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) (H^p)-spaces (42B30) Martingales and classical analysis (60G46)




Cites Work

  • Markoff chains and Martin boundaries
  • The density of the area integral in \({\mathbb{R}}_+^{n+1}\)
  • Parabolic maximal functions associated with a distribution
  • Boundary behavior of harmonic functions in a half-space and Brownian motion
  • \(H^p\) spaces of several variables
  • Conditional brownian motion and the boundary limits of harmonic functions


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