Lipschitz continuous and compact composi- tion operators in hyperbolic classes
نویسندگان
چکیده
Natural metrics in the hyperbolic α-Bloch-, weighted Dirichletand Qp-classes are introduced, and these classes are shown to be complete metric spaces with respect to the corresponding metrics. Then Lipschitz continuous and compact composition operators Cφ(f) = f ◦φ acting from the hyperbolic α-Bloch-class to the hyperbolic weighted Dirichletor Qp-class are characterized by conditions depending on the symbol φ only. Mathematics Subject Classification (2010). Primary 47B38; Secondary 30D45, 30D50, 46E15.
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