36 citations · 136 across the 59 of their papers we have counts for
62 papers
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…
Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators
Jorge J. Betancor, Estefanía Dalmasso, Pablo Quijano
In this paper we consider fractional Kolmogorov operators defined, in , by \[Λ_κ=(-Δ)^{α/2}+\fracκ{|x|^α} x\cdot \nabla,\] with , and $κ\in \m…