Burkholder’s inequalities in noncommutative Lorentz spaces

DOI10.1090/S0002-9939-10-10267-6zbMath1211.46073MaRDI QIDQ3574818

Yong Jiao

Publication date: 2 July 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Lorentz spacesnoncommutative martingalesBurkholder's inequalities

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Noncommutative probability and statistics (46L53) Noncommutative function spaces (46L52)

Related Items (9)

Noncommutative fractional integrals ⋮ Johnson-Schechtman inequalities for noncommutative martingales ⋮ Martingale inequalities in noncommutative symmetric spaces ⋮ Martingale inequalities in noncommutative symmetric spaces ⋮ Multipliers for noncommutative Walsh-Fourier series ⋮ Inequalities for noncommutative differentially subordinate martingales ⋮ Noncommutative Boyd interpolation theorems ⋮ Some results on noncommutative Hardy-Lorentz spaces ⋮ Distributional inequalities for noncommutative martingales

Cites Work

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• Noncommutative Burkholder/Rosenthal inequalities. II: Applications
• Distribution function inequalities for martingales
• Non-commutative martingale inequalities
• Noncommutative Burkholder/Rosenthal inequalities
• Conditioned square functions for noncommutative martingales
• Convolution operators and L(p, q) spaces
• On L(p,q) spaces
• On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
• Extrapolation and interpolation of quasi-linear operators on martingales
• Doobs inequality for non-commutative martingales
• Inequalities for Sums of Independent Random Variables

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