Hardy spaces and unbounded quasidisks

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

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