English

A Liouville theorem for some Bessel generalized operators

Functional Analysis 2019-04-17 v2

Abstract

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

Keywords

Cite

@article{arxiv.1708.05758,
  title  = {A Liouville theorem for some Bessel generalized operators},
  author = {Vanesa Galli and Sandra Molina and Alejandro Quintero},
  journal= {arXiv preprint arXiv:1708.05758},
  year   = {2019}
}
R2 v1 2026-06-22T21:18:20.716Z