On some inequalities for Doob decompositions in Banach function spaces

DOI10.1007/s00209-009-0546-3zbMath1221.60064OpenAlexW2000697358MaRDI QIDQ611986

Masato Kikuchi

Publication date: 3 January 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-009-0546-3

zbMATH Keywords

Banach function spacemartingaleinterpolation spaceDoob decompositionrearrangement-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) Interpolation between normed linear spaces (46B70)

Related Items (10)

Weak martingale Hardy-type spaces associated with quasi-Banach function lattice ⋮ Doob's inequality, Burkholder-Gundy inequality and martingale transforms on martingale Morrey spaces ⋮ Burkholder's inequalities associated with Orlicz functions in rearrangement invariant spaces ⋮ Weak Orlicz–Hardy martingale spaces ⋮ A generalization of \(\varPhi\)-moment martingale inequalities ⋮ Doob's maximal inequality and Burkholder-Davis-Gundy's inequality on Musielak-Orlicz spaces ⋮ Martingale Morrey-Campanato spaces and fractional integrals ⋮ Exponential integrability of martingales ⋮ Martingales and function spaces ⋮ \(\Phi\)-moment martingale inequalities on Lorentz spaces with variable exponents

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