TOPOLOGICAL STRUCTURE OF THE SPACE OF COMPOSITION OPERATORS FORM $F(p,q,s)$ SPACE to $\mathcal{B}_\mu$ SPACE

Abstract

We study the topological structure of the space of all bounded composition operators from $F(p,q,s)$ to $\mathcal{B}_\mu$ on the unit disk $\mathbb{D}$ in the operator norm topology. At the same time, we characterizes the boundedness and compactness of the differences of two composition operators.