Weighted differentiation composition operators from the logarithmic Bloch space to the weighted-type space
and | Sep 21, 2017
Published Online: Sep 21, 2017
Page range: 223 - 240
Received: Oct 01, 2015
Accepted: Dec 01, 2015
DOI: https://doi.org/10.1515/auom-2016-0056
Keywords
© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
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.