Atomic decompositions of Banach lattice-valued martingales

DOI10.1016/J.SPL.2011.12.003zbMath1252.60040OpenAlexW2084794609MaRDI QIDQ419200

Chuanzhou Zhang, Xue-Ying Zhang

Publication date: 18 May 2012

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2011.12.003

zbMATH Keywords

Banach latticeatomic decompositionBanach spacemartingale Hardy spacevector-valued martingales

Mathematics Subject Classification ID

Probabilistic methods in Banach space theory (46B09) Martingales and classical analysis (60G46) Probability theory on linear topological spaces (60B11)

Cites Work

• Unnamed Item
• Atomic decompositions of Lorentz martingale spaces and applications.
• Carleson measures and vector-valued BMO martingales
• Martingales in Banach lattices
• Atomic decompositions of Banach-space-valued martingales
• Martingale Hardy spaces and their applications in Fourier analysis
• Operator-valued martingale transforms
• Vector-valued weak martingale hardy spaces and atomic decompositions
• Interpolation theorems on weighted Lorentz martingale spaces
• Atomic Decompositions and Inequalities for Vector-Valued Discrete-Time Martingales
• H p -spaces of martingales, 0<p?1
• A new characterization of \(p\)-smoothable spaces

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