Weighted differentiation composition operators from the logarithmic Bloch space to the weighted-type space

Abstract

The boundedness of the weighted differentiation composition opera- tor from the logarithmic Bloch space to the weighted-type space is characterized in terms of the sequence (zn)n∈N0. An asymptotic estimate of the essential norm of the operator is also given in terms of the sequence, which gives a characterization for the compactness of the operator.

Keywords

• weighted differentiation composition operator
• weighted-type space
• logarithmic bloch space
• boundedness
• compactness.
• primary 47b38
• secondary 30h30.