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<p>In this paper, we introduce a space of analytic functions on the open unit disk whose derivatives belong to the Zygmund <i>F</i>-algebra. We provide a complete characterization of both linear isometries and multiplicative isometries on this space. As an application of the results on linear isometries, we investigate isometric multipliers and zero divisors in the space.</p>

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Isometries of the Derivative Zygmund F-Algebra of Analytic Functions on the Unit Disk

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  • 发表日期：

    2026年2月11日

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  • Sei-Ichiro Ueki

摘要

In this paper, we introduce a space of analytic functions on the open unit disk whose derivatives belong to the Zygmund F-algebra. We provide a complete characterization of both linear isometries and multiplicative isometries on this space. As an application of the results on linear isometries, we investigate isometric multipliers and zero divisors in the space.