An overview of cyclicity in Dirichlet-type spaces in the unit ball

Dimitrios Vavitsas

An overview of cyclicity in Dirichlet-type spaces in the unit ball

Complex Variables 2026-07-07 v1

Authors: Dimitrios Vavitsas

Abstract

We shall discuss the characterization of cyclicity of polynomials in Dirichlet-type spaces in the Euclidean unit ball of $\mathbb{C}^n$ which remains an open problem.

Keywords

Dirichlet-type spaces cyclicity polynomials unit ball open problem

Cite

@article{arxiv.2607.05997,
  title  = {An overview of cyclicity in Dirichlet-type spaces in the unit ball},
  author = {Dimitrios Vavitsas},
  journal= {arXiv preprint arXiv:2607.05997},
  year   = {2026}
}

Comments

8 pages, to appear in Concrete Operators