Poletskii Type Inequality for Mappings from the Orlicz-Sobolev Classes

被引：4

作者：

Golberg, Anatoly ^{[1
]}

Salimov, Ruslan ^{[2
]}

Sevost'yanov, Evgeny ^{[3
]}

机构：

[1] Holon Inst Technol, Dept Appl Math, 52 Golomb St,POB 305, IL-5810201 Holon, Israel

[2] Natl Acad Sci Ukraine, Inst Math, 3 Tereschenkivska St, UA-401601 Kiev, Ukraine

[3] Zhitomir State Univ, Dept Math Anal, 40 Bolshaya Berdichevskaya St, UA-10008 Zhytomyr, Ukraine

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2016年 / 10卷 / 05期

关键词：

EXTREMAL LENGTH;

D O I：

10.1007/s11785-015-0460-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the distortion of p-module under non-homeomorphic mappings.f from Orlicz-Sobolev classes W-loc(1,phi) and established a strengthened form of Poletskii's inequality. This inequality was known for quasiregular mappings and conformal moduli. In addition, our estimates involve the p-outer dilatation (instead of the classical inner dilatation) and the multiplicity function. In the case of the planar domains, the condition f is an element of W-loc(1,phi) can be replaced by f is an element of W-loc(1,1).

引用

页码：881 / 901

页数：21

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