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

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47 papers · 1 filter

math.CA2026

Extension theorems for logarithmic Schrödinger and discrete Laplacian operators

Jorge J. Betancor, Marta de León-Contreras, Lourdes Rodríguez-Mesa

In this paper we consider logarithmic operators in two different contexts: the adapted to (continuous) Schrödinger operators and the classical discrete setting. The Schrödinger ope…

math.CA2024

$L^{p}$ -boundedness properties for some harmonic analysis operators defined by resolvents for a Laplacian with drift in Euclidean spaces

Jorge J. Betancor, Juan C. Fariña, Lourdes Rodríguez-Mesa

We consider the Laplacian with drift in $R^{n}$ defined by $Δ_{ν} = \sum_{i = 1}^{n} (\frac{\partial ^{2}}{\partial x _{i}^{2}} + 2 ν_{i} \frac{\partial}{\partial x _{i}})$ where $ν=(ν_1,\ldots,…

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.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…

math.CA2022

Variation and oscillation operators on weighted Morrey-Campanato spaces in the Schrödinger setting

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

Let $L$ be the Schrödinger operator with potential $V$ , that is, $L = - Δ + V$ , where it is assumed that $V$ satisfies a reverse Hölder inequality. We consider weight…

Extension theorems for logarithmic Schrödinger and discrete Laplacian operators

Lp-boundedness properties for some harmonic analysis operators defined by resolvents for a Laplacian with drift in Euclidean spaces

Harmonic analysis operators in the rational Dunkl settings

The Riesz Transform and Fractional Integral Operators in the Bessel Setting

Variation and oscillation for semigroups associated with discrete Jacobi operators

Variation and oscillation operators on weighted Morrey-Campanato spaces in the Schrödinger setting

$L^{p}$ -boundedness properties for some harmonic analysis operators defined by resolvents for a Laplacian with drift in Euclidean spaces