有界域上局部与全局的Radon测度的积分不等式  

Some Local and Global Integral Inequalities with Radon Measure on Bounded Domain

作　　者：李群芳 李华灿[2] LI Qun-fang;LI Hua-can(Department of Mathematics,Ganzhou Teachers College,Ganzhou 341000,China;School of Science,Jiangxi University of Science and Technology,Ganzhou 341000,China)

机构地区：[1]赣州师范高等专科学校数学系,江西赣州341000 [2]江西理工大学理学院,江西锖州341000

出　　处：《数学的实践与认识》2021年第5期196-202,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11961030);江西省教育厅科技项目(GJJ191244)。

摘　　要：选择Laplace-Beltrami算子Δ和Green算子G的复合算子Δ◇G为研究对象,首先证明了有界域的局部圆域上作用于齐次A-调和方程解的复合算子Δ◇G的带Radon测度的积分不等式,然后在此基础上得到有界域上全局的Radon积分不等式.In this paper we choose the composite operator Δ◇G of the Laplace-Beltrami operator Δ and the Green’s operator G as the research object.We first prove the local integral inequality with Radon measure for the composite operator Δ◇ G applied to the solutions of the homogeneous A-harmonic equation on the local circle domain of the bounded domain.Furthermore,we also establish the global integral inequality on the bounded domain.

关 键 词：齐次A-调和方程 RADON测度 积分不等式 复合算子 

分 类 号：O178[理学—数学]