On some martingale inequalities for mean oscillations in weak spaces

DOI10.1007/s11587-015-0224-1zbMath1318.60046OpenAlexW2078972854MaRDI QIDQ2354559

Masato Kikuchi

Publication date: 20 July 2015

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-015-0224-1

zbMATH Keywords

maximal functionBanach function spacemean oscillationquasi-Banach function spacemartingale inequalities

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) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (5)

Weak martingale Hardy-type spaces associated with quasi-Banach function lattice ⋮ On Doob's inequality and Burkholder's inequality in weak spaces ⋮ New martingale inequalities and applications to Fourier analysis ⋮ On some inequalities for the optional projection and the predictable projection of a discrete parameter process ⋮ On martingale transform inequalities in certain quasi-Banach function spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characterization of Banach function spaces that preserve the Burkholder square-function inequality
• On some mean oscillation inequalities for martingales
• Hardy-Littlewood majorants in function spaces
• On certain martingale inequalities for maximal functions and mean oscillations
• Uniform boundedness of conditional expectation operators on a Banach function space

This page was built for publication: On some martingale inequalities for mean oscillations in weak spaces