# MathSciDoc: An Archive for Mathematician ∫

#### TBDmathscidoc:1701.333079

Arkiv for Matematik, 44, (1), 61-86, 2004.8
Let $\mathcal{D}$ be the Dirichlet space, namely the space of holomorphic functions on the unit disk whose derivative is square-integrable. We give a new sufficient condition, not far from the known necessary condition, for a function$f$∈ $\mathcal{D}$ to be$cyclic$, i.e. for {$pf$:$p$is a polynomial} to be dense in $\mathcal{D}$ .
@inproceedings{omar2004cyclicity,
title={Cyclicity in the Dirichlet space},
author={Omar El-Fallah, Karim Kellay, and Thomas Ransford},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203616871712888},
booktitle={Arkiv for Matematik},
volume={44},
number={1},
pages={61-86},
year={2004},
}

Omar El-Fallah, Karim Kellay, and Thomas Ransford. Cyclicity in the Dirichlet space. 2004. Vol. 44. In Arkiv for Matematik. pp.61-86. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203616871712888.