Noncommutative weak Orlicz spaces and martingale inequalities

DOI10.4064/sm204-3-1zbMath1236.46057arXiv1006.0091OpenAlexW2065064807MaRDI QIDQ3010591

Turdebek N. Bekjan, Zeqian Chen, Yong Jiao, Pei De Liu

Publication date: 4 July 2011

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0091

zbMATH Keywords

von Neumann algebranoncommutative martingalenoncommutative \(L^p\)-spaceMarcinkiewicz interpolationnoncommutative weak Orlicz spaceweak \(\Phi\)-moment Burkholder-Gundy inequalityweak \(\Phi\)-moment Khinchin inequality

Mathematics Subject Classification ID

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

Related Items

\(\Phi\)-moment inequalities for independent and freely independent random variables ⋮ Complex interpolation of noncommutative Hardy spaces associated with semifinite von Neumann algebras ⋮ Duality for symmetric Hardy spaces of noncommutative martingales ⋮ Weak Orlicz–Hardy martingale spaces ⋮ New Doob's maximal inequalities for martingales ⋮ Martingale inequalities in noncommutative symmetric spaces ⋮ Marcinkiewicz type interpolation theorems for weak Orlicz martingale spaces and application ⋮ Inequalities for noncommutative differentially subordinate martingales ⋮ Some properties and interpolation theorems in weak Orlicz-Lorentz spaces ⋮ On noncommutative weak Orlicz-Hardy spaces ⋮ Noncommutative maximal inequalities associated with convex functions ⋮ Noncommutative Hardy space associated with semi-finite subdiagonal algebras