36 citations · 136 across the 59 of their papers we have counts for
5 papers · 1 filter
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 , with . We study the fractional power , , $s\n…
The logarithmic -Laplacian on hyperbolic spaces
Jorge J. Betancor, Lourdes Rodr\'ıguez-Mesa
In this paper, the logarithmic -Laplacian operator on the hyperbolic space , with , is introduced. We prove that if is a l…
On -order logarithmic Schrödinger operator
Jorge J. Betancor, Estefanía Dalmasso, Pablo Quijano +1
In this paper we study the logarithm of order of the Schrödinger operator in , for certain nonnegative potentials . First, the operator $\log^m\m…
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…
Logarithmic Schrödinger operators
Jorge J. Betancor, Estefanía Dalmasso, Juan C. Fariña +1
In this paper we consider the Schrödinger operator in with a non negative potential , and . We define the logarithmic Schrödin…