Embeddings of Lorentz spaces of vector-valued martingales

DOI10.1007/s10688-010-0033-yzbMath1271.46007OpenAlexW1974041163MaRDI QIDQ366258

Tao Ma, Yong Jiao, Pei De Liu

Publication date: 12 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-010-0033-y

zbMATH Keywords

embeddinguniformly convex spacemartingale Lorentz spaceuniformly smooth space

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) Spaces of vector- and operator-valued functions (46E40) Isomorphic theory (including renorming) of Banach spaces (46B03) Probabilistic methods in Banach space theory (46B09)

Related Items (1)

\(L_{p,q }\)-norm estimates associated with Burkholder's inequalities

Cites Work

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• Martingales with values in uniformly convex spaces
• Martingale Hardy spaces and their applications in Fourier analysis
• Operator-valued martingale transforms

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