\(\Phi\)-moment inequalities for independent and freely independent random variables

DOI10.1016/j.jfa.2016.02.001zbMath1356.46052arXiv1608.07368OpenAlexW2962837340MaRDI QIDQ279793

Dmitriy Zanin, Yong Jiao, Guangheng Xie, Pheodor A. Sukochev

Publication date: 29 April 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.07368

zbMATH Keywords

Orlicz functionindependent random variablesfree probability{\(\Phi\)}-moment inequalities\(\Phi\)-momentJohnson-Schechtman inequalitiesKruglov operators

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative function spaces (46L52)

Related Items (10)

Johnson-Schechtman inequalities for noncommutative martingales ⋮ Burkholder's inequalities associated with Orlicz functions in rearrangement invariant spaces ⋮ On subspaces spanned by freely independent random variables in noncommutative \(L_p\)-spaces ⋮ Noncommutative Burkholder/Rosenthal inequalities associated with convex functions ⋮ Noncommutative Burkholder/Rosenthal inequalities with maximal diagonals ⋮ Rosenthal’s inequalities: ${\Delta }$-norms and quasi-Banach symmetric sequence spaces ⋮ A variance bound for a general function of independent noncommutative random variables ⋮ Inequalities for noncommutative differentially subordinate martingales ⋮ Johnson–Schechtman and Khintchine inequalities in noncommutative probability theory ⋮ \(\Phi\)-moment martingale inequalities on Lorentz spaces with variable exponents

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