<abstract xmlns="http://www.w3.org/1999/xhtml"> 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.</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.

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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...

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

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
Weighted differentiation composition operator, weighted-type space, logarithmic Bloch space, boundedness, compactness.

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

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

KeywordsWeighted differentiation composition operator, weighted-type space, logarithmic Bloch space, boundedness, compactness.

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Weighted differentiation composition operator, weighted-type space, logarithmic Bloch space, boundedness, compactness.