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

Showing math.CAShow all

23 papers · 1 filter

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…

math.CA2021

Quantitative weighted estimates for harmonic analysis operators in the Bessel setting by using sparse domination

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

In this paper we obtain quantitative weighted $L^{p}$ -inequalities for some operators involving Bessel convolutions. We consider maximal operators, Littlewood-Paley functions and var…

math.CA2021

Littlewood-Paley-Stein theory and Banach spaces in the inverse Gaussian setting

V. Almeida, J. J. Betancor, J. C. Fariña +1

In this paper we consider Littlewood-Paley functions defined by the semigroups associated with the operator $A = - \frac{Δ}{2} - x \nabla$ in the inverse Gaussian setting for Ban…