The Generalized Toeplitz Determinants for a Class of Holomorphic Mappings in Several Complex Variables

被引：0
|
作者：
Xu, Qinghua [1 ]
Jiang, Ting [1 ]
机构：
[1] Zhejiang Univ Sci & Technol, Sch Sci, Hangzhou 310023, Peoples R China
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2024年 / 18卷 / 06期
基金：
中国国家自然科学基金;
关键词：
The generalized Toeplitz determinants; Fekete-Szeg & ouml; inequality; Zero of order k; k-fold symmetric; MATRICES; STARLIKE; TRANSFORM; OPERATORS;
D O I：
10.1007/s11785-024-01585-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we define the generalized Toeplitz determinants whose entries are the coefficients of holomorphic functions on the unit disk U with k-fold symmetric, and then we establish the sharp bounds of the generalized determinants formed over the related terms of homogeneous expansion of a class of holomorphic mappings defined on the unit ball of a complex Banach space. The results presented here would generalize the corresponding results given by Giri and Kumar (Complex Anal Oper Theory 17(6):86, 2023).
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