On the maximal inequalities for martingales involving two functions

DOI10.1090/S0002-9939-01-06095-6zbMath0981.60052OpenAlexW1604909858MaRDI QIDQ2759041

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Publication date: 10 December 2001

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06095-6

zbMATH Keywords

maximal functionOrlicz spacemartingale inequalitynonnegative submartingale

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Analysis on ordered groups, (H^p)-theory (43A17)

Related Items (1)

Weak Orlicz space and its applications to the martingale theory

Cites Work

• Unnamed Item
• On the ratio of the expected maximum of a martingale and the \(L_ p\)- norm of its last term
• Two-parameter martingales and their quadratic variation
• Double \(\Phi\)-function inequality for nonnegative submartingales
• On Hardy - Littlewood Maximal Functions in Orlicz Spaces
• On maximal functions in Orlicz spaces
• On a converse inequality for maximal functions in Orlicz spaces
• Note on the class LlogL
• H p -spaces of martingales, 0<p?1

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