English

Cyclicity of singular inner functions from the corona theorem

Classical Analysis and ODEs 2010-12-30 v1 Functional Analysis

Abstract

Carleson's corona theorem is used to obtain two results on cyclicity of singular inner functions in weighted Bergman-type spaces on the unit disk. Our method proof requires no regularity conditions on the weights.

Keywords

Cite

@article{arxiv.1012.5822,
  title  = {Cyclicity of singular inner functions from the corona theorem},
  author = {Omar El-Fallah and Karim Kellay and Kristian Seip},
  journal= {arXiv preprint arXiv:1012.5822},
  year   = {2010}
}
R2 v1 2026-06-21T17:04:57.686Z