Lourdes Rodr'iguez-Mesa

collaborators

3 papers

math.AP2026

The logarithmic $p$ -Laplacian on hyperbolic spaces

Jorge J. Betancor, Lourdes Rodr\'Ä±guez-Mesa

In this paper, the logarithmic $p$ -Laplacian operator $lo g (- I^_{H^{n}})_{p}$ on the hyperbolic space $H^{n}$ , with $n \geq 2$ , is introduced. We prove that if $f$ is a…

math.CA2026

Extension theorems for logarithmic SchrÃ¶dinger and discrete Laplacian operators

Jorge J. Betancor, Marta de LeÃ³n-Contreras, Lourdes RodrÃguez-Mesa

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

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. FariÃ±a, Lourdes RodrÃguez-Mesa

We consider the Laplacian with drift in $R^{n}$ defined by $I^_{I^} ½ = \sum_{i = 1}^{n} (\frac{\partial ^{2}}{\partial x _{i}^{2}} + 2 I^½_{i} \frac{\partial}{\partial x _{i}})$ where $Î½=(Î½_1,\l…

The logarithmic p-Laplacian on hyperbolic spaces

Extension theorems for logarithmic SchrÃ¶dinger and discrete Laplacian operators

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

The logarithmic $p$ -Laplacian on hyperbolic spaces

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