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 2026 · math.APShow all

4 papers · 2 filters

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

The logarithmic $p$ -Laplacian on hyperbolic spaces

Jorge J. Betancor, Lourdes Rodr\'ıguez-Mesa

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

math.AP2026

On $m$ -order logarithmic Schrödinger operator

Jorge J. Betancor, Estefanía Dalmasso, Pablo Quijano +1

In this paper we study the logarithm of order $m$ of the Schrödinger operator $L_{V}$ in $R^{d}$ , for certain nonnegative potentials $V$ . First, the operator $\log^m\m…

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…

Higher order logarithms of Bessel operators and an extension problem

The logarithmic p-Laplacian on hyperbolic spaces

On m-order logarithmic Schrödinger operator

Logarithmic Schrödinger operators

The logarithmic $p$ -Laplacian on hyperbolic spaces

On $m$ -order logarithmic Schrödinger operator