广义HEISENBERG-GREINER p-退化椭圆算子的两类含权Hardy不等式  

Two Types of Weighted Hardy Inequalities for Generalized p-degenerate Subelliptic Heisenberg-Greiner Operators

作　　者：王胜军 韩亚洲 WANG Shengjun;HAN Yazhou(School of Mathematics and Statistics,Qinghai Normal University,Xining 810008,China;Department of Mathematics,College of Science,China Jiliang University,Hangzhou 310018,China)

机构地区：[1]青海师范大学数学与统计学院,西宁810008 [2]中国计量大学理学院,杭州310018

出　　处：《西南大学学报（自然科学版）》2022年第3期102-108,共7页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11201443)。

摘　　要：本文研究了广义Heisenberg-Greiner p-退化椭圆算子的Hardy不等式推广问题.利用散度定理并选择恰当的向量场,得到两类含权Hardy不等式.结合逼近的方法,给出了最佳常数的证明,进一步推广了已有的结果.In this paper,we present the improved versions of Hardy inequalities for the generalized p-degenerate subelliptic Heisenberg-Greiner operators.By employing divergence theorem and choosing suitable vector fields,we obtained two types of weighted Hardy inequalities.Furthermore,we show the proof of the best constants by combining with the approximation method.Our results extend the existing results.

关 键 词：广义Heisenberg-Greiner p-退化椭圆算子 含权Hardy不等式 最佳常数 

分 类 号：O175.25[理学—数学]