ON RIESZ TYPE INEQUALITIES FOR HARMONIC MAPPINGS ON THE UNIT DISK

被引：23

作者：

Kalaj, David ^{[1
]}

机构：

[1] Univ Montenegro, Fac Nat Sci & Math, Podgorica 81000, Montenegro

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 372卷 / 06期

关键词：

Subharmonic functions; harmonic mappings; CONSTANTS;

D O I：

10.1090/tran/7808

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove some sharp inequalities for complex harmonic functions on the unit disk. The results extend a M. Riesz conjugate function theorem and some well-known estimates for holomorphic functions. We apply some of results to the isoperimetric inequality for harmonic mappings.

引用

页码：4031 / 4051

页数：21

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