Optimal estimates for martingale transforms

DOI10.1016/j.jfa.2022.109451zbMath1502.60056OpenAlexW4220911023MaRDI QIDQ2118419

Dmitriy Zanin, Jinghao Huang, Pheodor A. Sukochev

Publication date: 22 March 2022

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2022.109451

zbMATH Keywords

Hilbert transformRiesz projectionmartingale transformsCalderon operator

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Noncommutative probability and statistics (46L53) Martingales and classical analysis (60G46)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Johnson-Schechtman inequalities for noncommutative martingales
• Singular traces. Theory and applications
• John-Nirenberg inequality and atomic decomposition for noncommutative martingales
• Rosenthal inequalities in noncommutative symmetric spaces
• Notes on non-commutative integration
• Lipschitz continuity of the absolute value in preduals of semifinite factors
• Non-commutative martingale inequalities
• Double operator integrals in a Hilbert space
• Double operator integrals
• Inequalities for noncommutative differentially subordinate martingales
• Generalized s-numbers of \(\tau\)-measurable operators
• Non-commutative martingale transforms
• Harmonic analysis in (UMD)-spaces: Applications to the theory of bases
• The foundational inequalities of D. L. Burkholder and some of their ramifications
• Distributional inequalities for noncommutative martingales
• Normed Köthe spaces: a non-commutative viewpoint
• Completeness of quasi-normed symmetric operator spaces
• Strong differential subordinates for noncommutative submartingales
• The optimal range of the Calderòn operator and its applications
• Martingales on von Neumann algebras
• A non-commutative extension of abstract integration
• Conditional expectation in an operator algebra
• Sets of uniformly absolutely continuous norm in symmetric spaces of measurable operators
• Completeness of symmetric $\varDelta $-normed spaces of $\tau $-measurable operators
• Transfer of Fourier Multipliers into Schur Multipliers and Sumsets in a Discrete Group
• Symmetric norms and spaces of operators
• Strong Convergence of Martingales in von Neumann Algebras
• Abstract Spectral Decompositions Guaranteed by the Hilbert Transform
• Local uniform and uniform convexity of non-commutative symmetric spaces of measurable operators
• Martingale Transforms
• Non-Commutative Bounded Vilenkin Systems
• Doobs inequality for non-commutative martingales
• ON THE BEST CONSTANTS IN SOME NON-COMMUTATIVE MARTINGALE INEQUALITIES
• On the contractibility to a point of the linear groups of reflexive non-commutative L^p-spaces
• Maximal Inequalities of Noncommutative Martingale Transforms
• Multilinear Operator Integrals
• Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture
• The main triangle projection in matrix spaces and its applications
• COMMUTATOR ESTIMATES AND $\RR$-FLOWS IN NON-COMMUTATIVE OPERATOR SPACES
• Quantum measure theory
• Martingale inequalities in noncommutative symmetric spaces

This page was built for publication: Optimal estimates for martingale transforms