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<p>In a recent paper Ramos and Tilli (Bull. London Math. Soc., 2023. <a href="https://doi.org/10.1112/blms.12833">https://doi.org/10.1112/blms.12833</a>) 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 different measures. Some connections with an analog for the Fock spaces, earlier investigated in Kalaj (Comput. Methods Funct. Theory, 2023. <a href="https://doi.org/10.1007/s40315-023-00493-5">https://doi.org/10.1007/s40315-023-00493-5</a>), will also be discussed.</p>

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Weighted Contractivity for Derivatives of Functions in the Bergman Space on the Unit Disk

  • 期刊论文

  • 发表日期：

    2025年4月16日

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  • David Kalaj,
  • Petar Melentijević

摘要

In a recent paper Ramos and Tilli (Bull. London Math. Soc., 2023. https://doi.org/10.1112/blms.12833) 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 different measures. Some connections with an analog for the Fock spaces, earlier investigated in Kalaj (Comput. Methods Funct. Theory, 2023. https://doi.org/10.1007/s40315-023-00493-5), will also be discussed.