Optimal growth of harmonic functions frequently hypercyclic for the partial differentiation operator
Functional Analysis
2019-12-04 v1
Abstract
We solve a problem posed by Blasco, Bonilla and Grosse-Erdmann in 2010 by constructing a harmonic function on , that is frequently hypercyclic with respect to the partial differentiation operator and which has a minimal growth rate in terms of the average -norm on spheres of radius as .
Cite
@article{arxiv.1708.08764,
title = {Optimal growth of harmonic functions frequently hypercyclic for the partial differentiation operator},
author = {Clifford Gilmore and Eero Saksman and Hans-Olav Tylli},
journal= {arXiv preprint arXiv:1708.08764},
year = {2019}
}