Weighted differentiation composition operators on the $Q_K(p,q)$ spaces and‎ their essential ‎norms‎

Abstract

In this paper, firstly we obtain characterization for boundedness of the weighted differentiation composition operator from $Q_K(p,q) $ space into weighted Zygmund space. Then we give an estimation for the essential norm of such an operator on the mentioned spaces. As an application, we present a characterization for the compactness of the above operator.

Keywords

• boundedness‎
• ‎compactness‎
• ‎essential norm‎
• ‎zygmund type ‎space‎