4 citations · 7 across the 4 of their papers we have counts for
10 papers
Maximal singular integral operators acting on noncommutative -spaces
Guixiang Hong, Xudong Lai, Bang Xu
In this paper, we study the boundedness theory for maximal Calderón-Zygmund operators acting on noncommutative -spaces. Our first result is a criterion for the weak type $(1,1…
Quantitative weighted bounds for the -variation of singular integrals with rough kernels
Yanping Chen, Guixiang Hong, Ji Li
In this paper, we study the quantitative weighted bounds for the -variational singular integral operators with rough kernels. The main result is for the sharp truncated singular…
Variational Inequalities for Bilinear Averaging Operators over Convex Bodies
Yong Ding, Guixiang Hong, Xinfeng Wu
We study -variation inequality for bilinear averaging operators over convex bodies defined by \begin{align*} \mathbf{A}_t^G(f_1,f_2)(x) & =\frac{1}{|G_t|}\int_{G_t…
Vector-valued -variational inequalities for averaging operators and Hilbert transform
Guixiang Hong, Wei Liu, Tao Ma
Recently, in \cite{GXHTM}, the authors established -boundedness of vector-valued -variational inequalities for averaging operators which take values in the Banach space sat…
An operator-valued theory for symmetric CZOs
Guixiang Hong, Honghai Liu, Tao Mei
We provide a natural BMO-criterion for the -boundedness of Calderón-Zygmund operators with operator-valued kernels satisfying a symmetric property. Our arguments involve both…
Noncommutative weak type estimate for a square function from ergodic theory
Guixiang Hong, Bang Xu
In this paper, we investigate the boundedness of a square function from ergodic theory on noncommutative -spaces. The main result is a weak type estimate of this squ…