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arXiv · 1902.04253

Carleson measures on simply connected domains

María J. González
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Abstract

We study the Carleson measures associated to the Hardy and weighted Bergman spaces defined on general simply connected domains. This program was initiated by Zinsmeister in his paper \textit{Les domaines de Carleson }(1989), where he shows that the geometry of the domain plays a fundamental role. We will review the classical results presenting, in some cases, alternative proofs and will examine the situation for the weighted Bergman spaces.

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María J. González. 2019-02-12. Carleson measures on simply connected domains. https://arxiv.org/abs/1902.04253

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