Title of article :
Weighted Composition-Differentiation Operators on the Hardy and Bergman Spaces
Author/Authors :
Babaei ، Abbas Department of Pure Mathematics - Faculty of Science - Imam Khomeini International University , Abkar ، Ali Department of Pure Mathematics - Faculty of Science - Imam Khomeini International University
Abstract :
We study weighted composition-differentiation operators on the Hardy and Bergman spaces in the unit disk. We first find necessary and sufficient conditions for weighted composition-differentiation operators to be Hilbert–Schmidt. We then characterize convergence of sequences of composition-differentiation operators acting on the Hardy space both in weak operator topology, and in strong operator topology
Keywords :
Hardy space , Bergman space , Hilbert–Schmidt operator , Composition , differentiation operator , Weak operator topology , Strong operator topology
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
