25 citations · 109 across the 37 of their papers we have counts for
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math.OA2015★ 8 cited
Hypercontractivity of heat semigroups on free quantum groups
Uwe Franz, Guixiang Hong, François Lemeux +2
In this paper we study two semigroups of completely positive unital self-adjoint maps on the von Neumann algebras of the free orthogonal quantum group and the free permutat…
math.CA2015
Jump and variational inequalities for rough operators
Yong Ding, Guixiang Hong, Honghai Liu
In this paper, we systematically study jump and variational inequalities for rough operators, whose research have been initiated by Jones {\it et al}. More precisely, we show some…
math.OA2015★ 22 cited
Algebraic Davis decomposition and asymmetric Doob inequalities
Guixiang Hong, Marius Junge, Javier Parcet
In this paper we investigate asymmetric forms of Doob maximal inequality. The asymmetry is imposed by noncommutativity. Let $(\M,τ)$ be a noncommutative probability space equipped…