Hardy spaces and unbounded quasidisks

Yong Chan Kim; Toshiyuki Sugawa

Hardy spaces and unbounded quasidisks

Complex Variables 2010-03-09 v1

Authors: Yong Chan Kim , Toshiyuki Sugawa

Abstract

We study the maximal number $0\le h\le+\infty$ for a given plane domain $\Omega$ such that $f\in H^p$ whenever $p<h$ and $f$ is analytic in the unit disk with values in $\Omega.$ One of our main contributions is an estimate of $h$ for unbounded $K$ -quasidisks.

Keywords

hardy spaces bounded domains

Cite

@article{arxiv.1003.1567,
  title  = {Hardy spaces and unbounded quasidisks},
  author = {Yong Chan Kim and Toshiyuki Sugawa},
  journal= {arXiv preprint arXiv:1003.1567},
  year   = {2010}
}

Comments

11 pages

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