Characterizes isometries in a space of analytic functions, suggesting implications for function analysis.
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.
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Sei-Ichiro Ueki (2026) studied this question.
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