81 citations · 102 across the 30 of their papers we have counts for
30 papers
Endpoint Estimates for Commutators of the Dirichlet Riesz Transform on the Half-Space
The Anh Bui, Xuan Thinh Duong, Xuejing Huo +1
Let be the Riesz transform associated with the Dirichlet Laplacian on the upper half-space , and let denote…
Endpoint estimates for commutators of singular integral operators associated with admissible functions
The Anh Bui, Xuan Thinh Duong, Luong Dang Ky
Let be a space of homogeneous type and let be an admissible function on . In this paper, we introduce a new class of singular integral operator…
Fractional Leibniz rules for the Dunkl Laplacian in Besov and Triebel--Lizorkin spaces
The Anh Bui, Xueting Han, Suman Mukherjee
Let be the Dunkl Laplacian on the Euclidean space associated with a normalized root system and a multiplicity function , . We establish a…
Hardy spaces, Campanato spaces and higher order Riesz transforms associated with Bessel operators
The Anh Bui
Let , with , and let be the multivariate Bessel operator defined by \[ Δ_ν = -\sum_{j=1}^n\left( \frac{\partial^2}{\parti…
Weighted norm inequalities of higher-order Riesz transforms associated with Laguerre expansions
The Anh Bui
Let $ν=(ν_1,\ldots,ν_n)\in (-1,\vc)^n$, , and let be a self-adjoint extension of the differential operator \[ L_ν:= \sum_{i=1}^n \left[-\frac{\partial^2}{\p…
Hardy spaces and Campanato spaces associated with Laguerre expansions and higher order Riesz transforms
The Anh Bui, Xuan Thinh Duong
Let \(\mathcal{L}_ν\) be the Laguerre differential operator which is the self-adjoint extension of the differential operator \[ L_ν:= \sum_{i=1}^n \left[-\frac{\partial^2}{\partial…