| 高维共轭温度系 |
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| 引用本文： | 李国全.高维共轭温度系[J].北京师范大学学报(自然科学版),1998,34(2):179-184. |
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| 作者姓名： | 李国全 |
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| 作者单位： | 北京师范大学数学系 |
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| 摘 要： | 把Ｅ．Ｋｏｃｈｎｅｆｆ等人的结果拓广到了ｎ维。类比于共轭调和函数系，对（ｎ＋１）维上半空间中的温度，给出了其共轭温度系的定义，当温度的边值在Ｌ＾１（Ｒ＾ｎ，ｄｘ／１＋│ｘ│＾ｎ＋１）中时，证明了其共轭温度系的存在，并说明了其边值。
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| 关 键 词： | 共轭温度系 分数次导数 Riesz变换 G－W核 |
CONJUGATE SYSTEM OF TEMPERATURE IN HIGH DIMENSION |
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| Li Guoquan.CONJUGATE SYSTEM OF TEMPERATURE IN HIGH DIMENSION[J].Journal of Beijing Normal University(Natural Science),1998,34(2):179-184. |
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| Authors: | Li Guoquan |
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| Abstract: | The purpose of this paper is to generalize the result obtained by E. Kochneff and Y. Sagher into the case of high dimension. Precisely, the existence of conjugate system of temperature is proved for a temperature with its boundary value in L1(Rm, ). |
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| Keywords: | conjugate system of temperature fractional derivate Gauss-Weierstrass kernel Riesz transform |
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