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• W1597984181 abstract "Motivated by a recent paper by S. Ohno we calculate Hilbert-Schmidt norms of products of composition and differentiation operators on the Bergman space $A^2_alpha,$ $alpha>-1$ and the Hardy space $H^2$ on the unit disk. When the convergence of sequences $(varphi_n)$ of symbols to a given symbol $varphi$ implies the convergence of product operators $C_{varphi_n}D^k$ is also studied. Finally, the boundedness and compactness of the operator $C_{varphi}D^k: A^2_alphato A^2_alpha$ are characterized in terms of the generalized Nevanlinna counting function." @default.
• W1597984181 created "2016-06-24" @default.
• W1597984181 creator A5001104212 @default.
• W1597984181 date "2009-11-01" @default.
• W1597984181 modified "2023-09-30" @default.
• W1597984181 title "Products of composition and differentiation operators on the weighted Bergman space" @default.
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• W1597984181 doi "https://doi.org/10.36045/bbms/1257776238" @default.
• W1597984181 hasPublicationYear "2009" @default.
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