Weighted contractivity for derivatives of functions in the Bergman space on the unit disk

David Kalaj; Petar Melentijevi\'c

Weighted contractivity for derivatives of functions in the Bergman space on the unit disk

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arxiv 2302.13424 v2 pith:JIRPSIVF submitted 2023-02-26 math.CV

David Kalaj , Petar Melentijević This is my paper · ORCID

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keywords functionsbergmanderivativesdiskinequalityspaceunitwill

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In a recent paper, Ramos and Tilli proved certain sharp inequality for analytic functions in subdomains of the unit disk. We will generalize their main inequality for derivatives of functions from Bergman space with respect to two diferent measures. Some connections with an analog for the Fock spaces, earlier investigated in Kalaj, will also be discussed.

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