16 citations · 98 across the 65 of their papers we have counts for
7 papers · 2 filters
Variation of Calderón--Zygmund Operators with Matrix Weight
Xuan Thinh Duong, Ji Li, Dongyong Yang
Let , and be a matrix weight. In this article, we introduce a version of variation for matr…
Two weight commutators on spaces of homogeneous type and applications
Xuan Thinh Duong, Ruming Gong, Marie-Jose S. Kuffner +3
In this paper, we establish the two weight commutator of Calderón--Zygmund operators in the sense of Coifman--Weiss on spaces of homogeneous type, by studying the weighted Hardy an…
Compactness of Riesz transform commutator on stratified Lie groups
Peng Chen, Xuan Thinh Duong, Ji Li +1
Let be a stratified Lie group and $\{\X_j\}_{1 \leq j \leq n}$ a basis for the left-invariant vector fields of degree one on . Let $Δ= \sum_{j = 1}^n \X_j^…
Maximal function characterizations for Hardy spaces on spaces of homogeneous type with finite measure and applications
The Anh Bui, Xuan Thinh Duong, Fu Ken Ly
We prove nontangential and radial maximal function characterizations for Hardy spaces associated to a non-negative self-adjoint operator satisfying Gaussian estimates on a space of…
Lower bound of Riesz transform kernels revisited and commutators on stratified Lie groups
Xuan Thinh Duong, Hong-Quan Li, Ji Li +2
Let be a stratified Lie group and $\{\X_j\}_{1 \leq j \leq n}$ a basis for the left-invariant vector fields of degree one on . Let $Δ= \sum_{j = 1}^n \X_j^…
Lower bound of Riesz transform kernels and Commutator Theorems on stratified nilpotent Lie groups
Xuan Thinh Duong, Hong-Quan Li, Ji Li +1
We provide a study of the Riesz transforms on stratified nilpotent Lie groups, and obtain a certain version of the pointwise lower bound of the Riesz transform kernel. Then we esta…