Laplace-Beltrami算子和Green算子复合作用的范数不等式  

The norm inequalities for compositions of Laplace-Beltrami operator and the Green's operator

作　　者：包革军[1] 蒋秋梅[1] 

机构地区：[1]哈尔滨工业大学理学院,黑龙江哈尔滨150001

出　　处：《黑龙江大学自然科学学报》2006年第5期632-636,641,共6页Journal of Natural Science of Heilongjiang University

摘　　要：首先证明了Laplace-Beltrami算子和Green算子复合作用的局部双权范数不等式,并且把它进一步推广到全局的情形.这些结果为进一步研究A-调和张量的性质提供了有效工具,对研究Lp(ΛkM)的积分性质也有重大意义,同时也推广了文献[4]已有的结果.The local two - weight norm inequalities for compositions of Laplace - Behrami operator and the Green＇ s operator, applied to A - harmonic tensors on manifolds, are first proved. And then it is generalized to the global resuits. These results provided effective tools for studying of the behavior of A - harmonic tensors further and played an important role in studying the integral properties of the L^p（A^kM） space. In the same time, they generalized the existed results of the reference [4].

关 键 词：微分形式 4-调和张量 双权函数 Laplace—Beltrami算子 Green算子 

分 类 号：O174.55[理学—数学]