P. Quijano

collaborators

4 papers

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

On $m$ -order logarithmic SchrÃ¶dinger operator

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

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

math.AP2026

Logarithmic SchrÃ¶dinger operators

Jorge J. Betancor, EstefanÃa Dalmasso, Juan C. FariÃ±a +1

In this paper we consider the SchrÃ¶dinger operator $L_{V} = - I^ + V$ in $R^{d}$ with a non negative potential $V$ , and $V \neq \equiv 0$ . We define the logarithmic SchrÃ¶…

math.AP2025

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 $R^{d}$ , by \[Î_Îº=(-Î)^{Î±/2}+\fracÎº{|x|^Î±} x\cdot \nabla,\] with $I^\pm \in (1, 2)$ , $I^\pm < (d + 2) /2$ and…

Higher order logarithms of Bessel operators and an extension problem

On m-order logarithmic SchrÃ¶dinger operator

Logarithmic SchrÃ¶dinger operators

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators

On $m$ -order logarithmic SchrÃ¶dinger operator