Inequalities for martingale transforms and related characterizations of Hilbert spaces

DOI10.1016/j.spl.2011.09.021zbMath1230.60045OpenAlexW2070920748MaRDI QIDQ654498

Adam Osȩkowski

Publication date: 28 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.spl.2011.09.021

zbMATH Keywords

Banach spacemartingaleUMD spacemartingale transformbiconvex function

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Characterizations of Hilbert spaces (46C15)

Cites Work

• Boundary value problems and sharp inequalities for martingale transforms
• Some remarks on Banach spaces in which martingale difference sequences are unconditional
• A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional
• Martingales with values in uniformly convex spaces
• On Fourier Multiplier Transformations of Banach-Valued Functions
• On Burkholder's Biconvex-Function Characterization of Hilbert Spaces
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