J. Betancor

activity

20052026

most citedCalderón-Zygmund operators in the Bessel setting

36 citations · 136 across the 59 of their papers we have counts for

collaborators

Showing 2023Show all

5 papers · 1 filter

math.AP2023

Variation operators associated with semigroups generated by Hardy operators involving fractional Laplacians in a half space

Jorge J. Betancor, Estefanía D. Dalmasso, Pablo Quijano

We represent by ${W_{λ, t}^{α}}_{t > 0}$ the semigroup generated by $- L_{λ}^{α}$ , where $L_{λ}^{α}$ is a Hardy operator on a half space. The operator $L_{λ}^{α}$ includes…

math.CA2023

Harmonic analysis operators in the rational Dunkl settings

Víctor Almeida, Jorge J. Betancor, Juan C. Fariña +1

In this paper we study harmonic analysis operators in Dunkl settings associated with finite reflection groups on Euclidean spaces. We consider maximal operators, Littlewood-Paley f…

math.CA2023

The Riesz Transform and Fractional Integral Operators in the Bessel Setting

Jorge J. Betancor, Xuan Thinh Duong, Ming-Yi Lee +2

Fix $λ > 0$ . Consider the Bessel operator $△_{λ} := - \frac{d ^{2}}{d x ^{2}} - \frac{2 λ}{x} \frac{d}{d x}$ on $R_{+}$ , where $R_{+} := (0, \infty)$ and $d m_{λ} := x^{2 λ} d x$ with $d x$ …

math.AP2023

BLO spaces associated with Laguerre polynomials expansions

J. J. Betancor, E. Dalmasso, P. Quijano

In this paper we introduce spaces of $BLO$ -type related to Laguerre polynomial expansions. We consider the probability measure on $(0, \infty)$ defined by $dγ_α(x)=\frac{2}…

math.CA2023

Variation and oscillation for semigroups associated with discrete Jacobi operators

Jorge J. Betancor, Marta De León-Contreras

In this paper we prove weighted $ℓ^{p}$ -inequalities for variation and oscillation operators defined by semigroups of operators associated with discrete Jacobi operators. Also, we…