English

Harmonic measure of the outer boundary of colander sets

Complex Variables 2020-10-02 v2

Abstract

We present two companion results: Phragm\'en-Lindel\"of type tight bounds on the minimal possible growth of subharmonic functions with recurrent zero set, and tight bounds on the maximal possible decay of the harmonic measure of the outer boundary of colander sets.

Keywords

Cite

@article{arxiv.1912.00247,
  title  = {Harmonic measure of the outer boundary of colander sets},
  author = {Adi Glücksam},
  journal= {arXiv preprint arXiv:1912.00247},
  year   = {2020}
}

Comments

28 pages, 3 figures