关于Green算子的Orlicz范数估计  

Orlicz norm estimation for Green's operator

作　　者：李华灿[1] 李群芳 李师煜[1] 

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

出　　处：《江西理工大学学报》2015年第5期110-112,共3页Journal of Jiangxi University of Science and Technology

基　　金：国家自然科学基金项目资助(11461032;11401267);江西省教育厅基金项目资助(GJJ13376);江西理工大学校级基金项目(NSFJ2015-G25)

摘　　要：满足特定调和方程的微分形式的经典范数不等式在偏微分方程、位势分析以及工程技术领域有着广泛的应用.基于满足A-调和方程的微分形式的Ls-范数不等式,文中首先证明了有界域上作用于微分形式的Green算子的局部Orlicz范数估计,然后把上述结果推广到Lφ-平均域上,进而得到对应的全局的Orlicz范数估计.Traditional norm inequalities of differential forms, which satisfy some certain kinds of harmonic equations, have been widely used in partial differential equations, potential analysis and engineering technology field. Based on L^s- norm inequality applying to differential forms which satisfy A-harmonic equation, it is proved that local Orlicz norm estimation for Green＇s operator can apply to differential forms on a convex bounded domain. Then the result is generalized to L^φ- averaging domains and the corresponding global Orlicz norm estimation is obtained.

关 键 词：ORLICZ范数 Green算子 微分形式 平均域 

分 类 号：O175.2[理学—数学]