| 复合算子的双权Poincaré-型不等式 |
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| 引用本文： | 邢宇明,王勇,包革军. 复合算子的双权Poincaré-型不等式[J]. 大学数学, 2013, 0(6): 35-38 |
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| 作者姓名： | 邢宇明 王勇 包革军 |
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| 作者单位： | 哈尔滨工业大学理学院数学系,哈尔滨150001 |
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| 摘 要： | 函数形式的Poincaré不等式在偏微分方程、位势分析等领域有着广泛的应用.给出LaplaceBeltrami算子和Green算子复合作用下A-调和张量的双权Poincaré不等式.它是经典Poincaré不等式的自然推广,并为A-调和张量性质的研究提供了有效工具.
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| 关 键 词： | 微分形式 A-调和方程 双权函数 Green算子 |
Two-weight Poincare Type Inequalities for Composite Operator |
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| XING Yu-ming,WANG Yong,BAOGe-jun. Two-weight Poincare Type Inequalities for Composite Operator[J]. College Mathematics, 2013, 0(6): 35-38 |
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| Authors: | XING Yu-ming WANG Yong BAOGe-jun |
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| Affiliation: | (Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China) |
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| Abstract: | Poincare-type inequalities for functions have wide applications in PDEs, potential analysis, and we obtain the two-weight Poineare-type inequality for composition of Laplace-Beltrami operator and Green＇ s operator applied to A-harmonic tensors. It is a natural generalization of the classical Poincare inequality, and the result can provide effective tools for studying properties of A harmonic tensors. |
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| Keywords: | differential forms A-harmonic tensors two-weight functions Green＇ s operators |
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