弱(K_1,K_2(x))-拟正则映射的高阶可积性

高红亚;刘海红;周树清;

数学学报 ›› 2009 ›› Issue (05) : 17-22.

中国科学院数学与系统科学研究院期刊网
数学学报 ›› 2009 ›› Issue (05) : 17-22. DOI: 10.12386/A2009sxxb0105
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弱(K_1,K_2(x))-拟正则映射的高阶可积性

    高红亚;刘海红;周树清;
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Higher Integrability for Weakly(K_1,K_2(x))-Quasiregular Mappings

    Hong Ya GAO College of Mathematics and Computer Science,Hebei University,Baoding 071002,P.R.China Hebei Provincial Center of Mathematics,Shijiazhuang 050016,P.R.China Hai Hong LIU College of Mathematics and Computer Science,Hebei University,Baoding 071002
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摘要

首先引入弱(K_1,K_2(x))-拟正则映射的定义,并以等周不等式及弱逆Hlder不等式为工具,得到了弱(K_1,K_2(x))-拟正则映射的高阶可积性,并将这一结果应用到高维空间具有三个特征矩阵的Beltrami方程组的广义解上。

Abstract

The definition of weakly(K_1,K_2(x))-quasiregular mappings is given,and then its higher integrability result is obtained by using the technique of isoperimetric inequality and weakly reverse Hlder inequality.The result is applied to the generalized solutions of Beltrami system with three characteristic matrices in high dimensional spaces.

关键词

弱(K_1,K_2(x))-拟正则映射 / 等周不等式 / 弱逆Hlder不等式

Key words

weakly(K_1,K_2(x))-quasiregular mapping / isoperimetric inequality / weakly reverse Hlder inequality

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高红亚;刘海红;周树清;. 弱(K_1,K_2(x))-拟正则映射的高阶可积性. 数学学报, 2009(05): 17-22 https://doi.org/10.12386/A2009sxxb0105
Hong Ya GAO College of Mathematics and Computer Science,Hebei University,Baoding 071002,P.R.China Hebei Provincial Center of Mathematics,Shijiazhuang 050016,P.R.China Hai Hong LIU College of Mathematics and Computer Science,Hebei University,Baoding 071002. Higher Integrability for Weakly(K_1,K_2(x))-Quasiregular Mappings. Acta Mathematica Sinica, Chinese Series, 2009(05): 17-22 https://doi.org/10.12386/A2009sxxb0105

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