幂零Lie群H_nR^k上一类非齐次拟微分算子的亚椭圆性  

The Hypoellipticity for a Class of Nonhomogeneous Pseudodifferential Operators on the Nilpotent Lie Group H-n  R^K

作　　者：傅初黎[1] 罗学波[1] 

机构地区：[1]兰州大学数学系,兰州730000

出　　处：《兰州大学学报（自然科学版）》1992年第1期7-14,共8页Journal of Lanzhou University(Natural Sciences)

基　　金：国家博士点科学基金;甘肃省自然科学基金

摘　　要：本文讨论了幂零Lie群H_nR^k 上一类非齐次拟微分算子的亚椭圆性.这类算子是以H_nR^k上非齐次右不变微分算子为特例的一类卷积算子.本文所得结果是[1]中关于一般幂零Lie群上非齐次左不变微分算子所得著名结果的推广.The purpose of this paper is to describe the hypoellipticity for a class of nonhomogeneous pseudodifferential operators on the nilpotent Lie groupH_n(?)RK.These operators belong to a class of convolution operators withright invariant differential operators as its special case.The result of thispaper is an extension of a famous conclusion in[1]about nonhomogeneous left invariant differential operators on general nilpotent Liegroups.

关 键 词：拟微分算子 亚椭圆性 幂零LIE群 

分 类 号：O175.3[理学—数学]