4 citations · 7 across the 4 of their papers we have counts for
9 papers · 1 filter
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…
Dimension-free estimates for the vector-valued variational operators
Dan Qing He, Gui Xiang Hong, Wei Liu
In this paper, We study dimension-free estimates for UMD lattice-valued -variations of Hardy-Littlewood averaging operators associated with the Euclidean balls.