| A New Inequality for Weakly （K1, K2）-Quasiregular Mappings |
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| 引用本文： | Hong Ya GAO Shu Qing ZHOU. A New Inequality for Weakly （K1, K2）-Quasiregular Mappings[J]. 数学学报(英文版), 2007, 23(12): 2241-2246. DOI: 10.1007/s10114-007-0972-2 |
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| 作者姓名： | Hong Ya GAO Shu Qing ZHOU |
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| 作者单位： | [1]ChinaCollege of Mathematics and Computer, Hebei University, Baoding 071002, P. R. [2]Mathematical Study Center of Hebei Province, Shijiazhuang 050016, P. R. China [3]College of Mathematics and Computational Sciences, Hu＇nan Normal University, Changsha 410081, P. R. China |
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| 基金项目： | Research supported by Special Fund of Mathematical Study of Natural Science Foundation of Hebei Province （07M003）, Doctoral Foundation of Hebei Province （B2004103） and Foundation of the Department of Education of Hunan Province （06C516） |
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| 摘 要： | We obtain a new inequality for weakly （K1,K2）-quasiregular mappings by using the McShane extension method. This inequality can be used to derive the self-improving regularity of （K1, K2）-Quasiregular Mappings.
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| 关 键 词： | 拟正则映射 不等式 数学分析 弱（K1 K2）拟正则映射 |
| 收稿时间： | 2005-09-13 |
| 修稿时间： | 2006-12-21 |
A New Inequality for Weakly (K1,K2)-Quasiregular Mappings |
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| Hong Ya Gao,Shu Qing Zhou,Yu Qin Meng. A New Inequality for Weakly (K1,K2)-Quasiregular Mappings[J]. Acta Mathematica Sinica(English Series), 2007, 23(12): 2241-2246. DOI: 10.1007/s10114-007-0972-2 |
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| Authors: | Hong Ya Gao Shu Qing Zhou Yu Qin Meng |
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| Affiliation: | (1) College of Mathematics and Computer, Hebei University, Baoding, 071002, P. R. China;(2) Mathematical Study Center of Hebei Province, Shijiazhuang, 050016, P. R. China;(3) College of Mathematics and Computational Sciences, Hu'nan Normal University, Changsha, 410081, P. R. China;(4) College of Mathematics and Computer, Hebei University, Baoding, 071002, P. R. China |
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| Abstract: | We obtain a new inequality for weakly (K 1,K 2)-quasiregular mappings by using the McShane extension method. This inequality can be used to derive the self-improving regularity of (K 1,K 2)-Quasiregular Mappings. Research supported by Special Fund of Mathematical Research of Natural Science Foundation of Hebei Province (07M003), Doctoral Fund of the Department of Education of Hebei Province (B2004103) and Fund of the Department of Education of Hunan Province (06C516) |
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| Keywords: | (K 1, K 2)-Quasiregular mapping regularity McShane extension |
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