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arXiv · 2302.13424

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

David Kalaj·Petar Melentijević
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Abstract

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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David Kalaj, Petar Melentijević. 2023-02-26. Weighted contractivity for derivatives of functions in the Bergman space on the unit disk. https://arxiv.org/abs/2302.13424

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