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Composition operators on Dirichlet spaces and Bloch space |
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| Authors: | Yuan Cheng Sanjay Kumar Ze Hua Zhou |
| Institution: | 1. Institute of Mathematics, School of Science, Tianjin University of Technology and Education, Tianjin, 300222, P. R. China 2. Department of Mathematics, University of Jammu, Jammu, 180 006, India 3. Department of Mathematics, Tianjin University, Tianjin, 300072, P. R. China 4. Center for Applied Mathematics of Tianjin University, Tianjin, 300072, P. R. China |
| Abstract: | In this paper we give a Carleson measure characterization for the compact composition operators between Dirichlet type spaces. We use this characterization to show that every compact composition operator on Dirichlet type spaces is compact on the Bloch space. |
| Keywords: | Bergman spaces Bloch space Carleson measure composition operators Dirichlet type spaces |
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