One-Component Inner Functions II

Joseph Cima () and Raymond Mortini ()
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Joseph Cima: UNC, Department of Mathematics
Raymond Mortini: Département de Mathématiques et Institut Élie Cartan de Lorraine, Université de Lorraine

A chapter in Advancements in Complex Analysis, 2020, pp 39-49 from Springer

Abstract: Abstract We continue our study of the set ℑ c $$\mathfrak I_c$$ of inner functions u in with the property that there is η ∈ ]0, 1[ such that the level set is connected. These functions are called one-component inner functions. Here we show that the composition of two one-component inner functions is again in ℑ c $$\mathfrak I_c$$ . We also give conditions under which a factor of one-component inner function belongs to ℑ c $$\mathfrak I_c$$ .

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-40120-7_2

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DOI: 10.1007/978-3-030-40120-7_2

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