On the Refined Esitmates of All Homogeneous Expansions for a Subclass of Biholomorphic Starlike Mappings in Several Complex Variables

On the Refined Esitmates of All Homogeneous Expansions for a Subclass of Biholomorphic Starlike Mappings in Several Complex Variables

The refined estimates of all homogeneous expansions for a subclass of biholomorphic starlike mappings are mainly established on the unit ball in complex Banach spaces or the unit polydisk in ℂ n with a unified method. Especially the results are sharp if the above mappings are further k -fold symmetr...

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Veröffentlicht in:Chinese annals of mathematics. Serie B 2021-11, Vol.42 (6), p.909-920
Hauptverfasser: Liu, Xiaosong, Liu, Taishun
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Sprache:eng
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Applications of Mathematics
Banach spaces
Complex variables
Mathematics
Mathematics and Statistics
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container_title Chinese annals of mathematics. Serie B
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Liu, Taishun
description The refined estimates of all homogeneous expansions for a subclass of biholomorphic starlike mappings are mainly established on the unit ball in complex Banach spaces or the unit polydisk in ℂ n with a unified method. Especially the results are sharp if the above mappings are further k -fold symmetric starlike mappings or k -fold symmetric starlike mappings of order α . The obtained results unify and generalize the corresponding results in some prior literatures.
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subjects Applications of Mathematics
Banach spaces
Complex variables
Mathematics
Mathematics and Statistics
title On the Refined Esitmates of All Homogeneous Expansions for a Subclass of Biholomorphic Starlike Mappings in Several Complex Variables
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