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arxiv: 1003.1567 · v1 · submitted 2010-03-08 · 🧮 math.CV

Hardy spaces and unbounded quasidisks

classification 🧮 math.CV
keywords omegaquasidisksunboundedanalyticcontributionsdiskdomainestimate
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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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