| 一类双权退化椭圆算子的基本解及Hardy不等式 |
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| 引用本文： | 王胜军,韩亚洲.一类双权退化椭圆算子的基本解及Hardy不等式[J].西南民族学院学报(自然科学版),2009,35(3):410-414. |
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| 作者姓名： | 王胜军 韩亚洲 |
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| 作者单位： | [1]青海师范大学数学与信息科学系,青海西宁810008 [2]中国计量学院数学系,浙江杭州310018 |
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| 基金项目： | 浙江省自然科学基金资助,项目编号为Y606144. |
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| 摘 要： | 首先建立了比广义Baoendi-Grushin向量场更为广泛的双权退化向量场构成的双权退化椭圆算子的基本解，然后通过构造适当的辅助函数，结合kombe的方法，证明了Hardy不等式．
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| 关 键 词： | 双权退化向量场:双权退化椭圆算子:基本解 Hardy不等式. |
The fundamental solution and Hardy inequality for a class of degenerated elliptics operators with a double-weight |
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| Institution: | WANG Sheng-jun , HAN Ya-zhou (1. Department of Mathematics and Information Science, Qinghai Normal University, Xining 810008, P.R.C.; 2.Department of Applied Mathematics, China University of Metrology, Hangzhou 310034, P. R .C.) |
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| Abstract: | In this paper, the fundamental solution related to the degenerated elliptic operator constructed by the generalized double-weight vector fields which is much more than the generalized Baoendi-Grushin operator is established.Then the Hardy inequality is proved by improving Kombe＇s method and choosing a proper auxiliary function. |
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| Keywords: | generalized double-weight vector field degenerated double-weight elliptic operator fundamental solution Hardyinequality |
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