J. C. Fariña

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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

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¶…