A weak-\(L^\infty\) inequality for weakly dominated martingales with applications to Haar shift operators

DOI10.1016/j.jmaa.2020.124547OpenAlexW3081920247MaRDI QIDQ2208952

Yong Jiao, Meryem Akboudj, Adam Osȩkowski

Publication date: 28 October 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124547

zbMATH Keywords

singular integral operatormartingaleweak-\(L^\infty\) spaceweak dominationHaar shift operator

Mathematics Subject Classification ID

Operator theory (47-XX) Partial differential equations (35-XX)

Cites Work

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• Boundary value problems and sharp inequalities for martingale transforms
• Inequalities for dominated martingales
• Weak-\(L^\infty\) and BMO
• The foundational inequalities of D. L. Burkholder and some of their ramifications
• Sharp Weak-Type Inequality for the Haar System, Harmonic Functions and Martingales
• Recovering singular integrals from Haar shifts
• Sharp Martingale and Semimartingale Inequalities

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