COMPOSITION-DIFFERENTIATION OPERATOR ON THE BERGMAN SPACE
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Date
2023
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Pan-American Journal of Mathematics
Abstract
We investigate the properties of composition-differentiation operator Dψ on the Bergman space of the unit disk L2 a(D). Specifically, we characterize the properties of the reproducing kernel for the derivatives of the Bergman space functions. Moreover, we determine the adjoint properties of Dψ whenever ψ is self analytic map of the unit disk D.
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Keywords
Bergman space, Composition-differentiation operator, Reproducing kernel, Adjoint. ∗Corresponding author.
Citation
doi.org/10.28919/cpr-pajm/2-18