Q
Quanhua Xu
Researcher at Harbin Institute of Technology
Publications - 85
Citations - 3487
Quanhua Xu is an academic researcher from Harbin Institute of Technology. The author has contributed to research in topics: Noncommutative geometry & Hardy space. The author has an hindex of 32, co-authored 83 publications receiving 3117 citations. Previous affiliations of Quanhua Xu include Institut Universitaire de France & Wuhan University.
Papers
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Non-commutative martingale inequalities
Gilles Pisier,Quanhua Xu +1 more
TL;DR: In this article, it was shown that an Ito-clifford integral can be an Lp-martingale via its integrand, and then extended to Lp for all 1
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Noncommutative Burkholder/Rosenthal inequalities
Marius Junge,Quanhua Xu +1 more
TL;DR: The martingale inequalities in noncommutative Lp-spaces associated with a von Neumann algebra equipped with a faithful normal state were investigated in this paper, where they were shown to be equivalent to the non-commutativity of the classical Burkholder inequality on the conditioned (or little) square function.
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Noncommutative maximal ergodic theorems
Marius Junge,Quanhua Xu +1 more
TL;DR: In this article, the authors prove the non-commutative analogue of the classical Dunford-Schwartz maximal ergodic inequality for positive contractions on and the analogue of Stein's maximal inequality for symmetric positive contracts.
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Analytic functions with values in lattices and symmetric spaces of measurable operators
TL;DR: In this paper, it was shown that if E is a symmetric quasi-Banach function space on (0, ∞) having the analytic Radon-Nikodym property, then LE(M, τ) also possesses this property for any semifinite von Neumann algebra.