T. A. Bui

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20242026

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7 papers · 1 filter

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.CA2024

Riesz transforms, Hardy spaces and Campanato spaces associated with Laguerre expansions

The Anh Bui

Let $I^½ \in [- 1/2, \infty)^{n}$ , $n \geq 1$ , and let $L_{I^} ½$ be a self-adjoint extension of the differential operator \[ L_Î½:= \sum_{i=1}^n \left[-\frac{\partial^2}{\partial x_…

math.CA2024

Weighted norm inequalities of some singular integrals associated with Laguerre expansions

The Anh Bui

Let $I^½ = (I^½_{1}, \dots, I^½_{n}) \in (- 1, \infty)^{n}$ , $n \geq 1$ , and let $L_{I^} ½$ be a self-adjoint extension of the differential operator \[ L_Î½:= \sum_{i=1}^n \left[-\frac{\parti…