Distributional inequalities for noncommutative martingales

DOI10.1016/j.jfa.2022.109798OpenAlexW4311763288MaRDI QIDQ2112757

Dmitriy Zanin, Lian Wu, Yong Jiao, Pheodor A. Sukochev

Publication date: 11 January 2023

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

Full work available at URL: https://arxiv.org/abs/2103.08847

zbMATH Keywords

extrapolationdistributional inequalitiesoptimal rangenoncommutative martingale

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Sums of independent random variables; random walks (60G50) Noncommutative probability and statistics (46L53) Noncommutative function spaces (46L52)

We Found 2 Related Items (max. 100)

P. Jones’ interpolation theorem for noncommutative martingale Hardy spaces ⋮ Optimal estimates for martingale transforms

Cites Work

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• Johnson-Schechtman inequalities for noncommutative martingales
• Singular traces. Theory and applications
• Rosenthal inequalities in noncommutative symmetric spaces
• Interpolation and \(\Phi \)-moment inequalities of noncommutative martingales
• The Dixmier trace and asymptotics of zeta functions
• Lipschitz continuity of the absolute value in preduals of semifinite factors
• Bounded linear operators between \(C^*\)-algebras
• Non-commutative martingale inequalities
• Noncommutative Burkholder/Rosenthal inequalities
• On extrapolation properties of Schatten-von Neumann classes
• Noncommutative Burkholder/Rosenthal inequalities associated with convex functions
• Generalized s-numbers of \(\tau\)-measurable operators
• Commutator structure of operator ideals
• Theory of operator algebras. II
• Non-commutative martingale transforms
• Square function inequalities for non-commutative martingales
• Atomic decompositions and asymmetric Doob inequalities in noncommutative symmetric spaces
• Completeness of quasi-normed symmetric operator spaces
• Square functions for noncommutative differentially subordinate martingales
• The optimal range of the Calderòn operator and its applications
• Conditioned square functions for noncommutative martingales
• Notes on Fourier analysis. XXIX. An extrapolation theorem
• Conditional expectation in an operator algebra
• Sets of uniformly absolutely continuous norm in symmetric spaces of measurable operators
• Johnson–Schechtman and Khintchine inequalities in noncommutative probability theory
• Noncommutative maximal inequalities associated with convex functions
• Noncommutative Davis type decompositions and applications
• Noncommutative Kothe Duality
• Symmetric norms and spaces of operators
• A reduction method for noncommutative 𝐿_{𝑝}-spaces and applications
• Burkholder’s inequalities in noncommutative Lorentz spaces
• Strong Convergence of Martingales in von Neumann Algebras
• Doobs inequality for non-commutative martingales
• ON THE BEST CONSTANTS IN SOME NON-COMMUTATIVE MARTINGALE INEQUALITIES
• Some remarks on noncommutative Khintchine inequalities
• Noncommutative Boyd interpolation theorems
• GUNDY'S DECOMPOSITION FOR NON-COMMUTATIVE MARTINGALES AND APPLICATIONS
• Interpolation of Quasi-Normed Spaces.
• Interpolation Theorems for the Pairs of Spaces (L p , L ∞ ) and (L 1 L q )
• Martingale inequalities in noncommutative symmetric spaces
• Martingale inequalities in noncommutative symmetric spaces

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