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Composition operators with univalent symbol in Schatten classes |
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| Authors: | O. El-Fallah M. El Ibbaoui H. Naqos |
| Affiliation: | Laboratoire Analyse et Applications-URAC/03, Département de Mathématiques, Université Mohammed V, Rabat-Agdal, B.P. 1014, Rabat, Morocco |
| Abstract: | We study composition operators, induced by a sub-domain of the unit disc whose boundary intersects the unit circle at 1 and which has, in a neighborhood of 1, a polar equation 1−r=γ(|θ|) (see Fig. 1). We obtain an explicit characterization for the membership in Schatten p-classes, in terms of γ. |
| Keywords: | Hardy space Dirichlet space Bergman space Composition operators Univalent functions Harmonic measure |
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