Operator-valued martingale transforms in rearrangement invariant spaces and applications

DOI10.1007/s11425-013-4570-8zbMath1281.60041OpenAlexW2283155515MaRDI QIDQ365829

Lian Wu, Mihai Popa, Yong Jiao

Publication date: 9 September 2013

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

Full work available at URL: https://doi.org/10.1007/s11425-013-4570-8

zbMATH Keywords

Boyd indicesoperator-valued martingale transforms

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Martingales and classical analysis (60G46)

Related Items (10)

John-Nirenberg inequalities with variable exponents on probability spaces ⋮ Doob's inequality, Burkholder-Gundy inequality and martingale transforms on martingale Morrey spaces ⋮ Hardy-Lorentz spaces for \(\mathbf{B}\)-valued martingales ⋮ New martingale inequalities and applications to Fourier analysis ⋮ Atomic subspaces of \(L_1\)-martingale spaces ⋮ Martingale transforms on Banach function spaces ⋮ Martingale transforms and fractional integrals on rearrangement-invariant martingale Hardy spaces ⋮ New John-Nirenberg inequalities for martingales ⋮ B-valued martingale Hardy-Lorentz-Karamata spaces ⋮ The predual and John-Nirenberg inequalities on generalized BMO martingale spaces

Cites Work

• Embeddings between weak Orlicz martingale spaces
• Carleson measures and vector-valued BMO martingales
• Orlicz norm inequalities for operator-valued martingale transforms
• Martingale inequalities in rearrangement invariant function spaces
• A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional
• Martingales with values in uniformly convex spaces
• Martingale Hardy spaces and their applications in Fourier analysis
• Operator-valued martingale transforms
• Extrapolation and interpolation of quasi-linear operators on martingales
• Martingale Transforms
• NEW MARTINGALE INEQUALITIES IN REARRANGEMENT-INVARIANT FUNCTION SPACES
• Boundedness of vector-valued martingale transforms on extreme points and applciations
• On the Davis inequality in Banach function spaces
• Indices of Function Spaces and their Relationship to Interpolation
• Some Maximal Inequalities
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