Differential Inequalities in Linear-and Affine-Invariant Families of Harmonic Mappings

被引：4
|
作者：
Graf, S. Yu. [1 ]
Eyelangoli, O. R. [1 ]
机构：
[1] Tver State Univ, Ul Zhelyabova 33, Tver 170000, Russia
来源：
RUSSIAN MATHEMATICS | 2010年 / 54卷 / 10期
关键词：
harmonic mappings; linear-and affine-invariant families of functions; order of a family;
D O I：
10.3103/S1066369X10100075
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In linear-and affine-invariant families of harmonic mappings of the unit disk we prove some differential inequalities such as the sharp two-sided estimate of the Jacobian and an estimate of the curvature of the image of the circle.
引用
收藏
页码：60 / 62
页数：3
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