Bounded holomorphic functions covering no concentric circles

被引：13

作者：

Dubinin V.N. ^{[1
]}

机构：

[1] Far Eastern Federal University, Vladivostok

来源：

Journal of Mathematical Sciences | 2015年 / 207卷 / 6期

基金：

俄罗斯基础研究基金会;

关键词：

Boundary Point; Sharp Estimate; Schwarzian Derivative; Arbitrary Real Number; Distortion Theorem;

D O I：

10.1007/s10958-015-2406-5

中图分类号：

学科分类号：

摘要：

Growth and distortion theorems for the functions indicated in the title are proved by the symmetrization method. Sharp estimates for the moduli of the functions considered and their derivatives at inner and boundary points are established, and an estimate for the Schwarzian derivative is obtained. Bibliography: 14 titles. © 2015, Springer Science+Business Media New York.

引用

页码：825 / 831

页数：6

共 14 条

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[2]

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[3]

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[4]

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[5]

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[6]

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[7]

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[8]

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[9]

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[10]

Dubinin V.N., On the preservation of conformal capacity under meromorphic functions, Zap. Nauchn. Semin. POMI, 392, pp. 67-73, (2011)

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