English

A note on cyclic vectors in Dirichlet-type spaces in the unit ball of $\mathbb{C}^n$

Complex Variables 2023-01-16 v1 Functional Analysis

Abstract

We characterize model polynomials that are cyclic in Dirichlet-type spaces in the unit ball of Cn\mathbb{C}^n, and we give a sufficient capacity condition in order to identify non-cyclic vectors.

Keywords

Cite

@article{arxiv.2301.05584,
  title  = {A note on cyclic vectors in Dirichlet-type spaces in the unit ball of $\mathbb{C}^n$},
  author = {Dimitrios Vavitsas},
  journal= {arXiv preprint arXiv:2301.05584},
  year   = {2023}
}