English

A note on Dirichlet-type spaces and cyclic vectors in the unit ball of $\mathbb{C}^2$

Complex Variables 2015-02-27 v2 Functional Analysis

Abstract

We extend results of B\'en\'eteau, Condori, Liaw, Seco, and the author concerning cyclic vectors in Dirichlet-type spaces to the setting of the unit ball, identifying some classes of cyclic and non-cyclic functions, and noting the necessity of certain capacity conditions.

Keywords

Cite

@article{arxiv.1410.7646,
  title  = {A note on Dirichlet-type spaces and cyclic vectors in the unit ball of $\mathbb{C}^2$},
  author = {Alan Sola},
  journal= {arXiv preprint arXiv:1410.7646},
  year   = {2015}
}

Comments

10 pages