Atomic decompositions for noncommutative martingales

DOI10.1016/j.jfa.2023.109877OpenAlexW3002097757MaRDI QIDQ2689341

Narcisse Randrianantoanina, Zeqian Chen, Quanhua Xu

Publication date: 10 March 2023

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

Full work available at URL: https://arxiv.org/abs/2001.08775

zbMATH Keywords

atomic decompositionHardy spacessquare functionsnoncommutative martingales

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 5 Related Items (max. 100)

Interpolation between noncommutative martingale Hardy and BMO spaces: the case ⋮ John-Nirenberg inequalities for noncommutative column BMO and Lipschitz martingales ⋮ Weak type estimate for the partial sums of Noncommutative Vilenkin-Fourier series ⋮ Noncommutative martingale Hardy-Orlicz spaces: dualities and inequalities ⋮ Atomic decompositions and asymmetric Doob inequalities in noncommutative symmetric spaces

Cites Work

• Unnamed Item
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• Algebraic Davis decomposition and asymmetric Doob inequalities
• Johnson-Schechtman inequalities for noncommutative martingales
• John-Nirenberg inequality and atomic decomposition for noncommutative martingales
• Operator-space Grothendieck inequalities for noncommutative \(L_p\)-spaces
• Noncommutative Burkholder/Rosenthal inequalities. II: Applications
• Commutators on dyadic martingales
• Sharp inequalities for the conditional square function of a martingale
• Non commutative Khintchine and Paley inequalities
• Martingale Hardy spaces for \(0<p\leq 1\)
• Martingale Hardy spaces and their applications in Fourier analysis
• Non-commutative martingale inequalities
• Noncommutative Burkholder/Rosenthal inequalities
• Grothendieck's theorem for operator spaces
• Weak type estimates for the noncommutative Vilenkin-Fourier series
• Atomic decomposition and interpolation for Hardy spaces of noncommutative martingales
• Square functions for noncommutative differentially subordinate martingales
• Embedding of the operator space OH and the logarithmic `little Grothendieck inequality'
• Martingales on von Neumann algebras
• Representation of certain homogeneous Hilbertian operator spaces and applications
• Multipliers for noncommutative Walsh-Fourier series
• Sharp Martingale and Semimartingale Inequalities
• Noncommutative Davis type decompositions and applications
• Noncommutative fractional integrals
• A noncommutative Davis’ decomposition for martingales
• Dual of non-commutative L^p-spaces with 0 < p < 1
• An Inequality of Araki-Lieb-Thirring (Von Neumann Algebra Case)
• Doobs inequality for non-commutative martingales
• Noncommutative dyadic martingales and Walsh–Fourier series
• ON THE BEST CONSTANTS IN SOME NON-COMMUTATIVE MARTINGALE INEQUALITIES
• THE NON-COMMUTATIVE KHINTCHINE INEQUALITIES FOR
• Inner Product Modules Over B ∗ -Algebras

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