On some Banach spaces of martingales associated with function spaces

DOI10.1515/FORM.2011.083zbMath1259.60044OpenAlexW2327797609MaRDI QIDQ2905094

Masato Kikuchi

Publication date: 24 August 2012

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2011.083

zbMATH Keywords

Banach function spacemartingalerearrangement-invariant function space

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) Geometry and structure of normed linear spaces (46B20) Applications of functional analysis in probability theory and statistics (46N30)

Related Items (2)

Weak martingale Hardy-type spaces associated with quasi-Banach function lattice ⋮ Martingales and function spaces

Cites Work

• Hardy-Littlewood majorants in function spaces
• NEW MARTINGALE INEQUALITIES IN REARRANGEMENT-INVARIANT FUNCTION SPACES
• On the Davis inequality in Banach function spaces
• A NECESSARY AND SUFFICIENT CONDITION FOR CERTAIN MARTINGALE INEQUALITIES IN BANACH FUNCTION SPACES

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