Bellman function method for general operators on martingales: arbitrary regular filtrations

DOI10.1090/SPMJ/1840MaRDI QIDQ6665339

Nikolay N. Osipov

Publication date: 17 January 2025

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

martingalesBellman function methodBurkholder methodGundy theoremregular filtrations

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Generalizations of martingales (60G48)

Cites Work

• Title not available (Why is that?)
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• Boundary value problems and sharp inequalities for martingale transforms
• A Littlewood-Paley inequality for arbitrary intervals
• Martingale transforms and uniformly convergent orthogonal series
• Burkholder meets Gundy: Bellman function method for general operators on martingales
• Sharp Martingale and Semimartingale Inequalities
• Probability with Martingales
• The Bellman Function Technique in Harmonic Analysis
• Littlewood–Paley–Rubio de Francia inequality for the Walsh system
• A Decomposition for $L^1$-Bounded Martingales
• Sharp estimates of integral functionals on classes of functions with small mean oscillation

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