| 关于非整数次Sobolev空间的几个定理 |
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| 引用本文： | 刁元胜.关于非整数次Sobolev空间的几个定理[J].华南理工大学学报(自然科学版),1991,19(2):50-59. |
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| 作者姓名： | 刁元胜 |
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| 作者单位： | 华南理工大学应用数学系 |
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| 摘 要： | 本文把整数次Sobolev空间的延拓定理推广到非整数次的Sobolev空间,并且用简明方法证明了非整数次Sobolev空间的稠密性定理和迹算子的核定理。
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| 关 键 词： | Sobolev空间 非整数次 广义函数 |
ON SOME THEOREMS OF NON-INTEGRAL ORDER SOBOLEV SPACE |
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| Diao Yuansheng.ON SOME THEOREMS OF NON-INTEGRAL ORDER SOBOLEV SPACE[J].Journal of South China University of Technology(Natural Science Edition),1991,19(2):50-59. |
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| Authors: | Diao Yuansheng |
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| Abstract: | This paper extends the extension theorems for the integral order Sobolev space to the non-integral order Sobolev space. The density theorem of the non-integral order Sobolev space and the kernels theorem of the trace oprator are proved by simple methods. |
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| Keywords: | generating function Hilbert space dense extension trace dual imbedding theorem |
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