T. A. Bui

collaborators

9 papers

math.AP2026

Fractional Leibniz rules for the Dunkl Laplacian in Besov and Triebel--Lizorkin spaces

The Anh Bui, Xueting Han, Suman Mukherjee

Let $L$ be the Dunkl Laplacian on the Euclidean space $R^{N}$ associated with a normalized root system $R$ and a multiplicity function $k (I^½) \geq 0$ , $I^½ \in R$ . We establish…

math.CA2025

Hardy spaces, Campanato spaces and higher order Riesz transforms associated with Bessel operators

The Anh Bui

Let $I^½ = (I^½_{1}, \dots, I^½_{n}) \in (- 1/2, \infty)^{n}$ , with $n \geq 1$ , and let $I^_{I^} ½$ be the multivariate Bessel operator defined by \[ Î_Î½ = -\sum_{j=1}^n\left( \frac{\partial^2}…

math.CA2025

Weighted norm inequalities of higher-order Riesz transforms associated with Laguerre expansions

The Anh Bui

Let $Î½=(Î½_1,\ldots,Î½_n)\in (-1,\vc)^n$, $n \geq 1$ , and let $L_{I^} ½$ be a self-adjoint extension of the differential operator \[ L_Î½:= \sum_{i=1}^n \left[-\frac{\partial^…

math.CA2025

Hardy spaces and Campanato spaces associated with Laguerre expansions and higher order Riesz transforms

The Anh Bui, Xuan Thinh Duong

Let $\mathcal{L}_Î½$ be the Laguerre differential operator which is the self-adjoint extension of the differential operator \[ L_Î½:= \sum_{i=1}^n \left[-\frac{\partial^2}{\parti…

math.CA2025

Harmonic analysis in Dunkl settings

The Anh Bui

Let $L$ be the Dunkl Laplacian on the Euclidean space $R^{N}$ associated with a normalized root $R$ and a multiplicity function $k (I^½) \geq 0, I^½ \in R$ . In this paper, we first…

math.FA2025

On subordinated semigroups and Hardy spaces associated to fractional powers of operators

The Anh Bui, Michael G. Cowling, Xuan Thinh Duong

Let $L$ be a positive self-adjoint operator on $L^{2} (X)$ , where $X$ is a $I ¨ $ -finite metric measure space. When $I^\pm \in (0, 1)$ , the subordinated semigroup $\{\exp(-tL^Î±):t \in \math…