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Extremal distance and conformal mappings in Hardy and Bergman spaces
Published 1 Feb 2023 in math.CV | (2302.00638v1)
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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