J. C. Fariña

activity

20082026

most citedSquare functions in the Hermite setting for functions with values in UMD spaces

17 citations · 58 across the 26 of their papers we have counts for

collaborators

26 papers

math.AP2026

Higher order logarithms of Bessel operators and an extension problem

Jorge J. Betancor, Estefanía. Dalmasso, Juan C. Fariña +1

We consider the Bessel operator defined by \[ B_λ=-\frac{d^2}{dx^2}+\frac{λ^2-1/4}{x^2}, \] on $(0, \infty)$ , with $λ > - 1$ . We study the fractional power $B_{λ}^{s}$ , $s \in (- 1, 1)$ , $s\n…

math.AP2026

Logarithmic Schrödinger operators

Jorge J. Betancor, Estefanía Dalmasso, Juan C. Fariña +1

In this paper we consider the Schrödinger operator $L_{V} = - Δ + V$ in $R^{d}$ with a non negative potential $V$ , and $V \neq \equiv 0$ . We define the logarithmic Schrödin…

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.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…

math.CA2022

Littlewood-Paley functions associated with general Ornstein-Uhlenbeck semigroups

Víctor Almeida, Jorge J. Betancor, Juan C. Fariña +2

In this paper we establish $L^{p} (R^{d}, γ_{\infty})$ -boundedness properties for square functions involving time and spatial derivatives of Ornstein-Uhlenbeck semigroups. Here $γ…