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25 April 2024

» arxiv » math.CV/0406345

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Weighted Bergman spaces and the integral means spectrum of conformal mappings
Haakan Hedenmalm ; Serguei Shimorin ;
Date:	17 Jun 2004
Subject:	Complex Variables; Functional Analysis MSC-class: 30C55; 30C85; 31A20 \| math.CV math.FA
Abstract:	We study the so-called integral means spectrum for univalent functions on the unit disk. Using an inequality of Prawitz (generalizing the classical area theorem of Gronwall), we find -- by applying a Moebius mapping to lift the result to the bidisk -- that it is possible to obtain rather strong estimates from above on the integral means spectrum.
Source:	arXiv, math.CV/0406345
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