Weak \(\Phi\)-inequalities for the Haar system and differentially subordinated martingales

DOI10.3792/PJAA.88.139zbMath1266.60080OpenAlexW2160481525MaRDI QIDQ1949176

Adam Osȩkowski

Publication date: 25 April 2013

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1352210374

zbMATH Keywords

Haar systemmartingalebest constantweak-\(\Phi\) inequality

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Martingales with continuous parameter (60G44)

Cites Work

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• On relaxing the assumption of differential subordination in some martingale inequalities
• Sharp llogl inequalities for differentially subordinated martingales and harmonic functions
• Boundary value problems and sharp inequalities for martingale transforms
• Lévy processes and Fourier multipliers
• Stochastic integration and \(L^ p-\)theory of semimartingales
• 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
• Sharp moment inequalities for differentially subordinated martingales
• A sharp weak type $(p,p)$ inequality $(p>2)$ for martingale transforms and other subordinate martingales
• A Remarkable Series of Orthogonal Functions (I)
• On singular integral and martingale transforms

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