Natural metrics and composition operators in generalized hyperbolic function spaces
Natural metrics and composition operators in generalized hyperbolic function spaces
In this paper, we define some generalized hyperbolic function classes. We also introduce natural metrics in the generalized hyperbolic -Bloch and in the generalized hyperbolic classes. These classes are shown to be complete metric spaces with respect to the corresponding metrics. Moreover, boundedness and compactness the composition operators acting from …