On generalized superposition operator acting of analytic function spaces

Document Type : Original Article

Author

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

Abstract

In this paper we introduce a new integration operator SðnÞ
g;/, where
SðnÞ
g;/ ¼
Z z
0
/ðnÞ
ðfðnÞÞgðnÞdn:
We characterize all entire functions that transform a Bloch-type space into another by this new
integration operator. Also, we prove that all generalized superposition operators induced by such
entire functions are bounded.

Keywords