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 ...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.展开更多
基金supported by National Natural Science Foundation of China(Grant No.11226086)Tianjin Advanced Education Development Fund(Grant No.20111005)+1 种基金the second author is supported by NBHM(DAE)Post-Doctoral Fellowship(Grant No.2/40(32)/2009-R&D-II/1337)the third author is supported by National Natural Science Foundation of China(Grant Nos.11371276,10971153)
文摘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.
