Weak type (p,q)-inequalities for the Haar system and differentially subordinated martingales

DOI10.1002/mana.201100144zbMath1244.60045OpenAlexW2161973889MaRDI QIDQ2888899

Adam Oseçkowski

Publication date: 4 June 2012

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201100144

zbMATH Keywords

Haar systemmartingaledifferential subordinationbest constantsweak type inequality

Mathematics Subject Classification ID

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

Related Items (3)

Sufficient conditions for the minimality of biconcave functions ⋮ Maximal inequalities and some applications ⋮ An extension of a Hardy's inequality and its applications

Cites Work

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• On relaxing the assumption of differential subordination in some martingale inequalities
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• 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
• The foundational inequalities of D. L. Burkholder and some of their ramifications
• Sharp moment inequalities for differentially subordinated martingales
• A sharp weak type $(p,p)$ inequality $(p>2)$ for martingale transforms and other subordinate martingales
• Martingale Transforms
• A Remarkable Series of Orthogonal Functions (I)

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