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arXiv · 2302.00638

Extremal distance and conformal mappings in Hardy and Bergman spaces

Christina Karafyllia
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Abstract

We prove necessary and sufficient integral conditions involving extremal distance for a conformal mapping of the unit disk to belong to the Hardy or weighted Bergman spaces. We also give characterizations for the Hardy number and the Bergman number of a simply connected domain in terms of extremal distance.

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Christina Karafyllia. 2023-02-01. Extremal distance and conformal mappings in Hardy and Bergman spaces. https://arxiv.org/abs/2302.00638

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