| 共轭 A -调和张量的双权积分不等式 |
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| 引用本文： | 高红亚,侯兰茹. 共轭 A -调和张量的双权积分不等式[J]. 数学物理学报(A辑), 2008, 28(2): 341-348 |
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| 作者姓名： | 高红亚 侯兰茹 |
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| 作者单位： | [1]河北大学数学与计算机学院,保定071002 [2]河北省数学研究中心,石家庄050016 |
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| 基金项目： | 国家自然科学基金 , 河北省自然科学基金数学研究专项基金 , 河北省教育厅博士科研项目 |
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| 摘 要： | 该文引进一类新的权函数 $-A^{lambda_{3}}_{r}(lambda_{1},lambda-{2},Omega)$ -权, 证明了共轭$cal A$ -调和张量的局部加权积分不等式.作为局部结果的应用, 证明了在有界区域$Omega$中共轭$cal A$ -调和张量的整体加权积分不等式.这些结果可看成是经典结果的推广.最后, 给出了上述结果在拟正则映射理论中的应用.
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| 关 键 词： | 共轭${cal A}$ -调和张量 $A^{lambda_{3}}_{r}(lambda_{1},lambda_{2},Omega)$ -权 加权积分不等式 拟正则映射 |
| 文章编号： | 1003-3998(2008)02-341-08 |
| 收稿时间： | 2005-10-08 |
| 修稿时间： | 2005-10-08 |
Two-Weight Integral Inequalities for Conjugate ${cal A}$-Harmonic Tensors |
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| Gao Hongya,Hou Lanru. Two-Weight Integral Inequalities for Conjugate ${cal A}$-Harmonic Tensors[J]. Acta Mathematica Scientia, 2008, 28(2): 341-348 |
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| Authors: | Gao Hongya Hou Lanru |
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| Affiliation: | College of Mathematics and Computer Science, Hebei University, Baoding 071002;
Hebei Provincial Center for Mathematics, Shijiazhuang 050016 |
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| Abstract: | In this paper, the authors first introduce a newweight: $A^{lambda_{3}}_{r}(lambda_{1},lambda_{2},Omega)$-weight,and prove the local weighted integral inequalities for conjugate${cal A}$ -harmonic tensors. Then, as an application of the localresult, the authors prove a global weighted integral inequality forconjugate ${cal A}$-harmonic tensors in a bounded domain $Omega$,which can be regarded as generalizations of the classical results.Finally, the authors give some applications of the above results toquasiregular mappings. |
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| Keywords: | Conjugate ${cal A}$-harmonic tensorzz $A^{lambda_{3}}_{r}(lambda_{1},lambda_{2},Omega)$-weightzz Weighted integral inequalityzz Quasiregular mappingzz |
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