Hardy spaces and unbounded quasidisks

Yong Chan Kim; Toshiyuki Sugawa

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arXiv · 1003.1567

Hardy spaces and unbounded quasidisks

Yong Chan Kim·Toshiyuki Sugawa

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Abstract

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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BibTeX RIS

Yong Chan Kim, Toshiyuki Sugawa. 2010-03-08. Hardy spaces and unbounded quasidisks. https://arxiv.org/abs/1003.1567

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