Non-commutative Stein inequality and its applications

DOI10.1080/03610926.2018.1435813OpenAlexW3106516182MaRDI QIDQ5078362

Ali Talebi, Mohammad Sal Moslehian

Publication date: 23 May 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.00546

zbMATH Keywords

traceconditional expectationnon-commutative probability spaceStein inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Noncommutative probability and statistics (46L53)

Cites Work

• Unnamed Item
• Unnamed Item
• Around operator monotone functions
• Noncommutative martingale concentration inequalities
• Noncommutative Burkholder/Rosenthal inequalities. II: Applications
• Non-commutative martingale inequalities
• Non-commutative martingale transforms
• A non-commutative version of Lépingle-Yor martingale inequality
• Noncommutative maximal inequalities associated with convex functions
• Embedding L 1 in L 1 /H 1
• Littlewood-Paley theory on solenoids
• Doobs inequality for non-commutative martingales
• Noncommutative Blackwell–Ross martingale inequality