Hardy spaces and unbounded quasidisks

@article{Kim2010HardySA,
  title={Hardy spaces and unbounded quasidisks},
  author={Yong Chan Kim and Toshiyuki Sugawa},
  journal={arXiv: Complex Variables},
  year={2010}
}
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. 
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