B-valued martingale spaces with small index and atomic decompositions

DOI10.1007/BF02877064zbMath1002.60036OpenAlexW2149299742MaRDI QIDQ1609599

Lin Yu, Pei De Liu

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02877064

zbMATH Keywords

atomic decompositionmartingale spacegeometry of Banach spaceBanach-space-valued martingale

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Probabilistic methods in Banach space theory (46B09)

Related Items

Hardy-Lorentz spaces for \(\mathbf{B}\)-valued martingales ⋮ Interpolation for martingale Hardy spaces over weighted measure spaces ⋮ B-valued martingale Hardy-Lorentz-Karamata spaces ⋮ Atomic decompositions of weak Hardy spaces ofB-valued martingales

Cites Work

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• A real variable characterization of $H^{p}$
• Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients
• H p -spaces of martingales, 0<p?1