# 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}
}
• Published 8 March 2010
• Mathematics
• arXiv: Complex Variables
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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