Interpolation and \(\Phi \)-moment inequalities of noncommutative martingales

DOI10.1007/s00440-010-0319-2zbMath1244.46029arXiv1002.3670OpenAlexW2040617535MaRDI QIDQ664337

Turdebek N. Bekjan, Zeqian Chen

Publication date: 1 March 2012

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.3670

zbMATH Keywords

interpolationnoncommutative martingale\(\Phi\)-moment martingale inequality\(\tau\)-measurable operatorsnoncommutative Orlicz space

Mathematics Subject Classification ID

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

We Found 27 Related Items (max. 100)

\(\Phi\)-moment inequalities for independent and freely independent random variables ⋮ Johnson-Schechtman inequalities for noncommutative martingales ⋮ Non-commutative analogues of weak compactness criteria in symmetric spaces ⋮ Convergence of weighted averages of noncommutative martingales ⋮ Duality for symmetric Hardy spaces of noncommutative martingales ⋮ Maximal inequalities in noncommutative probability spaces ⋮ Smooth dense subalgebras and Fourier multipliers on compact quantum groups ⋮ Hardy-Littlewood inequalities on compact quantum groups of Kac type ⋮ Extensions of Nazarov-Podkorytov lemma in non-commutative spaces of \(\tau\)-measurable operators ⋮ Some new \(\Phi \)-moment martingale inequalities associated with concave functions ⋮ Noncommutative Burkholder/Rosenthal inequalities associated with convex functions ⋮ Noncommutative Burkholder/Rosenthal inequalities with maximal diagonals ⋮ Atomic decompositions and asymmetric Doob inequalities in noncommutative symmetric spaces ⋮ An interpolation theorem for quasimartingales in noncommutative symmetric spaces ⋮ Poincaré type inequalities for group measure spaces and related transportation cost inequalities ⋮ Martingale inequalities in noncommutative symmetric spaces ⋮ Quasi-martingale inequalities in noncommutative symmetric spaces ⋮ Inequalities for noncommutative differentially subordinate martingales ⋮ Square functions for noncommutative differentially subordinate martingales ⋮ Johnson–Schechtman and Khintchine inequalities in noncommutative probability theory ⋮ Noncommutative maximal inequalities associated with convex functions ⋮ Noncommutative Boyd interpolation theorems ⋮ Noncommutative Davis type decompositions and applications ⋮ \(\Phi\)-moment martingale inequalities on Lorentz spaces with variable exponents ⋮ Interpolation and the John–Nirenberg inequality on symmetric spaces of noncommutative martingales ⋮ Distributional inequalities for noncommutative martingales ⋮ P. Jones’ interpolation theorem for noncommutative martingale Hardy spaces

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