Sharp weak type inequalities for the Haar system and related estimates for nonsymmetric martingale transforms

DOI10.1090/S0002-9939-2011-11093-1zbMath1274.60137OpenAlexW2106122679MaRDI QIDQ2845066

Adam Osȩkowski

Publication date: 22 August 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-11093-1

zbMATH Keywords

Haar systemmartingaledifferential subordinationweak type inequalitymartingale transformunconditional constant

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Martingales with continuous parameter (60G44)

Related Items (2)

Sharp inequalities for the Haar system and Fourier multipliers ⋮ Sharp weak-type inequalities for Fourier multipliers and second-order Riesz transforms

Cites Work

• Boundary value problems and sharp inequalities for martingale transforms
• Inequalities for dominated martingales
• A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional
• Differential subordination and strong differential subordination for continuous-time martingales and related sharp inequalities
• A sharp weak type $(p,p)$ inequality $(p>2)$ for martingale transforms and other subordinate martingales
• A proof of Pełczyński's conjecture for the Haar system
• A Sharp Inequality for Martingale Transforms and the Unconditional Basis Constant of a Monotone Basis in L p (0, 1)
• Martingale Transforms
• Bases in Banach Spaces
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