On Doob's inequality and Burkholder's inequality in weak spaces

DOI10.1007/S13348-015-0153-ZzbMath1347.60048OpenAlexW2216903262MaRDI QIDQ314651

Masato Kikuchi

Publication date: 16 September 2016

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13348-015-0153-z

zbMATH Keywords

martingalesBanach function spacesBurkholder's inequalityDoob's inequalityweak spaces

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)

Related Items (6)

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

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• On some mean oscillation inequalities for martingales
• Martingale Transforms
• Uniform boundedness of conditional expectation operators on a Banach function space

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