| 度量测度空间上的Holder连续函数的积分特征 |
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| 引用本文： | 李良树,周振荣.度量测度空间上的Holder连续函数的积分特征[J].华中师范大学学报(自然科学版),2012,46(4):385-388,391. |
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| 作者姓名： | 李良树 周振荣 |
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| 作者单位： | 1. 武汉城市职业学院 经济与管理系,武汉,430064
2. 华中师范大学 数学与统计学学院,武汉,430079 |
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| 摘 要： | 经典的Holder连续函数的积分特征在椭圆型偏微分方程的正则性理论中发挥着重要的作用.本文的主要目的是运用度量测度空间上的Morrey空间和Companato空间理论,证明CC度量测度空间上Holder连续函数的积分特征.
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| 关 键 词： | 度量测度空间 Doubling条件 CC度量 |
An integral characterization of Holder continuous functions on metric measure spaces |
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| LI Liangshu
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ZHOU Zhenrong.An integral characterization of Holder continuous functions on metric measure spaces[J].Journal of Central China Normal University(Natural Sciences),2012,46(4):385-388,391. |
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| Authors: | LI Liangshu ZHOU Zhenrong |
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| Institution: | 1.Department of Economic Management,Wuhan City Vocational College,Wuhan 430064; 2.School of Mathematics and Statistics,Huazhong Normal University,Wuhan 430079) |
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| Abstract: | The classical integral characterization of Holder continuous functions plays an important role in regularities of elliptic PDE’s.In this paper,by taking use of Morrey and Companato space theory on metric measure spaces,we prove an integral characterization of Holder continuous functions on CC metric measure spaces. |
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| Keywords: | metric measure space Doubling condition CC metric |
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