On Weighted Spaces of Harmonic and Holomorphic Functions |
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Authors: | Lusky Wolfgang |
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Institution: | Fachbereich 17, Universität-Gesamthochschule Warburger Straße 100, D-33098 Paderborn, Germany |
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Abstract: | Weighed spaces of harmonic and holomorphic functions on theunit disc are studied. We show that for all radial weights whichare not decreasing too fast the space of harmonic functionsis isomorphic to c0. For the weights that we consider we completelycharacterize those spaces of holomorphic functions which areisomorphic to c0. Moreover, we determine when the Riesz projection,mapping the weighted space of harmonic functions onto the correspondingspace of holomorphic functions, is bounded. |
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