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arXiv · 2411.14843

Meromorphic Optimal domain of Integral Operators

Carlo Bellavita·Anil Belli·Georgios Nikolaidis·Georgios Stylogiannis
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Abstract

For $g\in BMOA$, we introduce the meromorphic optimal domain $(T_g,H^p)$, i.e. the space containing the meromorphic functions that are mapped under the action of the generalized Volterra operator $T_g$ into the Hardy space $H^p$. We investigate its properties and characterize for which $g_1,g_2 \in BMOA$ the corresponding meromorphic optimal domains coincide. This investigation contributes to a more comprehensive understanding of the holomorphic optimal domain of $T_g$ in $H^p$.

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Carlo Bellavita, Anil Belli, Georgios Nikolaidis, Georgios Stylogiannis. 2024-11-22. Meromorphic Optimal domain of Integral Operators. https://arxiv.org/abs/2411.14843

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