| 关于共轭A-调和张量的加权Sobolev嵌入不等式 |
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| 引用本文： | 王勇.关于共轭A-调和张量的加权Sobolev嵌入不等式[J].黑龙江大学自然科学学报,2005,22(4):438-440. |
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| 作者姓名： | 王勇 |
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| 作者单位： | 哈尔滨工业大学,数学系,黑龙江,哈尔滨,150001 |
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| 摘 要： | 建立了关于共轭A-调和张量的加权SOBOLEV嵌入不等式以及作用于共轭A-调和张量的同伦算子T的加权范数估计式,这些结论可以用来研究共轭A-调和张量的可积性及同伦算子、HODGE上微分算子的积分估计．
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| 关 键 词： | 共轭A-调和张量 Hodge上微分算子 嵌入不等式 同伦算子T |
| 文章编号： | 1001-7011(2005)04-0438-03 |
| 修稿时间： | 2004年3月25日 |
The weighted Sobolev imbedding inequality for conjugate A- harmonic tensors |
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| WANG Yong.The weighted Sobolev imbedding inequality for conjugate A- harmonic tensors[J].Journal of Natural Science of Heilongjiang University,2005,22(4):438-440. |
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| Authors: | WANG Yong |
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| Institution: | WANG Yong Department of Mathematics,Harbin Institute of Technology. Harbin 150001,China |
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| Abstract: | The weighted Sobolev imbedding inequality for conjugate A - harmonic tensors is obtained, and the weighted norm estimates for homotopy operator applied to conjugate A - harmonic tensors is established. These results can be used to study the integrability of conjugate A - harmonic tensors, and the integral estimates of homotopy and Hodge codifferential operators. |
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| Keywords: | conjugate A -harmonic tensor Hodge codifferential operator imbedding inequality Homotopy operator |
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