| 退化(K_1,K_2)拟正则映射的充分条件 |
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| 引用本文： | 姚力,刘桂霞.退化(K_1,K_2)拟正则映射的充分条件[J].大学数学,2009,25(3). |
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| 作者姓名： | 姚力 刘桂霞 |
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| 作者单位： | 河北建筑工程学院,数理系,河北,张家口,075024 |
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| 摘 要： | 研究了退化弱(k1,k2)拟正则映射的正则性.利用H lder不等式、Sobolev空间的空间分析方法,以及内插定理等工具,给出了退化弱(k1,k2)拟正则映射事实上为退化(k1,k2)拟正则映射的一个充分条件,其结果对非退化情形也成立.
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| 关 键 词： | 退化弱(k1 k2)拟正则映射 退化(k1 k2)拟正则映射 Hlder不等式 |
A Sufficient Condition for Degenerate(k_1,k_2) Quasiregular Mappings |
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| YAO Li,LIU Gui-xia.A Sufficient Condition for Degenerate(k_1,k_2) Quasiregular Mappings[J].College Mathematics,2009,25(3). |
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| Authors: | YAO Li LIU Gui-xia |
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| Institution: | Department of Mathematics and Physics;Hebei Institute of Architecture andCivil Engineering;Zhangjiakou 075024;China |
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| Abstract: | We study the regularity properties for degenerate weakly(k1,k2) quasiregular mapping.By using the techniques of Hlder inequality,the analysis method of Sobolev space and Interpolation theorem,we obtain a sufficient for degenerate weakly(k1,k2) quasiregular is in fact degenerate quasiregular mappings.The result is also hold for nondegederate case. |
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| Keywords: | degenerate weakly(k1 k2) quasiregular mappings degenerate(k1 k2) quasiregular mappings Hlder inequality |
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