Two-Sided Estimate of Univalence Domains for Holomorphic Mappings of the Unit Disk into Itself Keeping Its Diameter

被引：3

作者：

Kudryavtseva, O. S. ^{[1
]}

Solodov, A. P. ^{[2
]}

机构：

[1] Volgograd State Tech Univ, 28 Lenin Ave, Volgograd 400005, Russia

[2] Lomonosov Moscow State Univ, 1 Leninskie Gory Str, Moscow 119991, Russia

来源：

RUSSIAN MATHEMATICS | 2019年 / 63卷 / 07期

关键词：

holomorphic mapping; fixed point; angular derivative; domain of univalence;

D O I：

10.3103/S1066369X19070090

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain an asymptotically sharp two-sided estimate of univalence domains on classes of holomorphic automorphisms of the unit disc with two boundary fixed points and an invariant diameter. The estimate depends on the value of the product of the angular derivatives at the boundary fixed points.

引用

页码：80 / 83

页数：4

共 12 条

[1] Two-Sided Estimate of Univalence Domains for Holomorphic Mappings of the Unit Disk into Itself Keeping Its Diameter
O. S. Kudryavtseva
A. P. Solodov
Russian Mathematics, 2019, 63 : 80 - 83
[2] Asymptotically sharp two-sided estimate for domains of univalence of holomorphic self-maps of a disc with an invariant diameter
Kudryavtseva, O. S.
Solodov, A. P.
SBORNIK MATHEMATICS, 2020, 211 (11) : 1592 - 1611
[3] Estimate of the Second Coefficient of Holomorphic Mappings of a Disk into Itself with Two Fixed Points
Kudryavtseva, O. S.
Solodov, A. P.
MATHEMATICAL NOTES, 2023, 113 (5-6) : 694 - 699
[4] Estimate of the Second Coefficient of Holomorphic Mappings of a Disk into Itself with Two Fixed Points
O. S. Kudryavtseva
A. P. Solodov
Mathematical Notes, 2023, 113 : 694 - 699
[5] Two-sided estimates for domains of univalence for classes of holomorphic self-maps of a disc with two fixed points
Kudryavtseva, O. S.
Solodov, A. P.
SBORNIK MATHEMATICS, 2019, 210 (07) : 1019 - 1042
[6] Holomorphic mappings of the unit disc into itself with two fixed points
Goryainov, V. V.
SBORNIK MATHEMATICS, 2017, 208 (03) : 360 - 376
[7] DIMENSION ESTIMATE FOR THE TWO-SIDED POINTS OF PLANAR SOBOLEV EXTENSION DOMAINS
Takanen, Jyrki
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151 (09) : 3779 - 3792
[8] Estimate for the Domain of Univalence in the Class of Holomorphic Self-Maps of a Disk with Two Boundary Fixed Points
Goryainov, V. V.
Kudryavtseva, O. S.
Solodov, A. P.
DOKLADY MATHEMATICS, 2023, 108 (01) : 326 - 330
[9] Estimate for the Domain of Univalence in the Class of Holomorphic Self-Maps of a Disk with Two Boundary Fixed Points
V. V. Goryainov
O. S. Kudryavtseva
A. P. Solodov
Doklady Mathematics, 2023, 108 : 326 - 330
[10] Two-sided norm estimate for the Bergman projection on the Besov space in the unit ball in Cn
Vujadinovic, Djordjije
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2018, 93 (3-4): : 263 - 284

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