A Liouville theorem for some Bessel generalized operators

Abstract

In this paper we establish a Liouville theorem in ${{\mathcal{H}}^{\prime }}_{\mu }$ for a wider class of operators in $(0,\infty {)}^n$ that generalizes the $n$-dimensional Bessel operator. We will present two different proofs, based in two representation theorems for certain distributions "supported in zero".

Cited by in corpus (1)

• $n$-dimensional Fractional Bessel Operators and Liouville theorems