On the Bellman function method for operators on martingales

DOI10.1134/S1064562421030066zbMath1477.42027OpenAlexW3197730613MaRDI QIDQ2243866

Yanyan Li

Publication date: 11 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562421030066

zbMATH Keywords

Walsh systemHaar transformRubio de Francia inequalityBurkholder methodGundy theorem

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (1)

Burkholder meets Gundy: Bellman function method for general operators on martingales

Cites Work

• Boundary value problems and sharp inequalities for martingale transforms
• A Littlewood-Paley inequality for arbitrary intervals
• Martingale transforms and uniformly convergent orthogonal series
• Littlewood–Paley–Rubio de Francia inequality for the Walsh system
• A Decomposition for $L^1$-Bounded Martingales
• Unnamed Item

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