6 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…
On -order logarithmic Schrödinger operator
Jorge J. Betancor, EstefanÃa 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\…
Logarithmic Schrödinger operators
Jorge J. Betancor, EstefanÃa Dalmasso, Juan C. Fariña +1
In this paper we consider the Schrödinger operator in with a non negative potential , and . We define the logarithmic Schrö…
Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators
Jorge J. Betancor, EstefanÃa Dalmasso, Pablo Quijano
In this paper we consider fractional Kolmogorov operators defined, in , by \[Î_κ=(-Î)^{α/2}+\fracκ{|x|^α} x\cdot \nabla,\] with , and…
Gaussian spaces
Jorge J. Betancor, EstefanÃa Dalmasso, Pablo Quijano
In this paper we introduce the John-Nirenberg's type spaces associated with the Gaussian measure in where …