CARATHEODORY AND SMIRNOV TYPE THEOREMS FOR HARMONIC MAPPINGS OF THE UNIT DISK ONTO SURFACES

被引：11

作者：

Kalaj, David ^{[1
]}

Markovic, Marijan ^{[1
]}

Mateljevic, Miodrag ^{[2
]}

机构：

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

[2] Univ Belgrade, Fac Math, Belgrade 11000, Serbia

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2013年 / 38卷 / 02期

关键词：

Harmonic mappings; harmonic surfaces; isoperimetric inequality;

D O I：

10.5186/aasfm.2013.3822

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove representation theorems, the versions of Smirnov's theorem and Caratheodory type theorem for harmonic homeomorphisms of the unit disk onto Jordan surfaces with rectifiable boundaries. Further we establish the classical isoperimetric inequality and the Riesz-Zygmund inequality for Jordan harmonic surfaces without any smoothness assumptions on the boundary.

引用

页码：565 / 580

页数：16

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