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Sharp maximal bound for continuous martingales

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Publication:988114
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DOI10.1016/J.SPL.2010.05.005zbMath1203.60045OpenAlexW2148954820MaRDI QIDQ988114

Adam Osȩkowski

Publication date: 26 August 2010

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2010.05.005


zbMATH Keywords

martingalemaximal inequalitystochastic integraldifferential subordination


Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Martingales with continuous parameter (60G44)





Cites Work

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  • Sharp weak-type inequalities for differentially subordinated martingales
  • Sharp maximal inequality for martingales and stochastic integrals
  • Differential subordination and strong differential subordination for continuous-time martingales and related sharp inequalities
  • Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms
  • A sharp weak type $(p,p)$ inequality $(p>2)$ for martingale transforms and other subordinate martingales
  • Sharp maximal inequality for stochastic integrals
  • Sharp Maximal Inequalities for Conditionally Symmetric Martingales and Brownian Motion




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