摘要
Let μ and v be normal functions and let Tg be the extended Ceshso operator in terms of the symbol g. In this paper, we will characterize those g so that Tg is bounded (or compact) from mixed norm spaces H(p, q, μ) to H(p, q, v) in the unit ball of C^n, Furthermore, as applications, some analogous results are also given on weighted Bergman spaces and Dirichlet type spaces.
Let μ and v be normal functions and let Tg be the extended Ceshso operator in terms of the symbol g. In this paper, we will characterize those g so that Tg is bounded (or compact) from mixed norm spaces H(p, q, μ) to H(p, q, v) in the unit ball of C^n, Furthermore, as applications, some analogous results are also given on weighted Bergman spaces and Dirichlet type spaces.
基金
Supported by the National Natural Science Foundation of China (No.10571049, 10471039), the Natural Scicnce Foundation of Zhejiang Province (No. M103085).