Properties of superposition operators acting between B l and Q K

Document Type : Original Article

Author

Port Said University, Faculty of Science, Department of Mathematics, Port Said 42521, Egypt

http://dx.doi.org/10.1016/j.joems.2015.01.003

Abstract

In this paper we introduce natural metrics in the hyperbolic Bloch and QK-type spaces
with respect to which these spaces are complete. Moreover, Lipschitz continuous, bounded and
compact superposition operators S/ from the hyperbolic Bloch type space to the hyperbolic
QK-type space are characterized by conditions depending only on the analytic symbol /.

Keywords