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共轭A-调和张量全局加A_r(λ,Ω)-权估计式

A_r(λ,Ω)-weighted Overall Involved Estimations for Conjugate A-harmonic Tensors
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摘要 借助两个局部加权定理及文献[2]中的有关Whitney覆盖的一些结果来证明全局的范数估计.给出非齐次A-调和方程A(x,g+du)=h+d*v及共轭A-调和方程A(x,du)=d*v解的全局加Ar(λ,Ω)-权范数估计式,其中全局为有界域Ω. In this article, overall norm estimations supported by tow partial weighted theorem and some conclusions of overlapping from Whitney in reference documentation [ 2 ] are proved. The solutions of Ar ( λ,Ω ) - weighted overall involved estimation for tonon - homogeneous A - harmonic equations A ( x, g + du) = h + d* v and conjugate A - harmonic equations A ( x, du ) = d* v, in which the overall is the hounded domain Ω.
作者 贺丹 金明浩
机构地区 黑龙江工程学院
出处 《哈尔滨师范大学自然科学学报》 CAS 2012年第5期6-8,共3页 Natural Science Journal of Harbin Normal University
基金 黑龙江教育厅科学技术研究项目(12521457)
关键词 范数 微分形式 双权函数 积分不等式 Norm Differential form Two - weight function Integral inequality
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参考文献7

  • 1徐昌贵.一类调和方程边值问题的级数解[J].漳州师范学院学报(自然科学版),2008,21(1):17-20. 被引量:1
  • 2Nolder C A. Hardy - Littlewood Theorems for A - harmonic Tensors. Illinois Journal of Mathematics, 1999,43 : 613 - 631.
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  • 4Wang Y. Two - weighted Poincar6 - type Inequalities for Dif- ferential Forms in Ls (/z) - averaging Domains. Applied Math- matics Letters, 2007, 20:1161 -1166.
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