Averaging Operators and Martingale Inequalities in Rearrangement Invariant Function Spaces

DOI10.4153/CMB-1999-038-7zbMath0935.60029MaRDI QIDQ4267610

Masato Kikuchi

Publication date: 4 May 2000

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

averaging operatorsmartingale inequalitiesrearrangement function spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Martingales with continuous parameter (60G44) Martingales and classical analysis (60G46)

Related Items (5)

Doob's maximal inequality and Burkholder-Davis-Gundy's inequality on Musielak-Orlicz spaces ⋮ Dual spaces of cadlag processes ⋮ Martingale transforms on Banach function spaces ⋮ Martingale Inequalities in Symmetric Spaces with Semimultiplicative Weight ⋮ Martingales and function spaces

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