文献类型：期刊文献

英文题名：INTEGRAL REPRESENTATIONS OF GENERALIZED HARMONIC FUNCTIONS

作者：Qiao, Lei[1];Pan, Guoshuang[2]

第一作者：乔蕾

通讯作者：Pan, GS[1]

机构：[1]Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou 450002, Peoples R China;[2]Beijing Natl Day Sch, Beijing 100039, Peoples R China

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Beijing Natl Day Sch, Beijing 100039, Peoples R China.

年份：2013

卷号：17

期号：5

起止页码：1503-1521

外文期刊名：TAIWANESE JOURNAL OF MATHEMATICS

收录：;Scopus(收录号：2-s2.0-84884358879);WOS:【SCI-EXPANDED(收录号:WOS:000327366700002)】；

基金：This work is supported by the National Natural Science Foundation of China (Grant No.11226093).

语种：英文

外文关键词：Asymptotic behavior; Integral representation; Stationary Schrodinger equation; Generalized harmonic function; Cone

摘要：When generalized harmonic functions belong to the weighted Lebesgue classes, we give the asymptotic behaviors of them at infinity in an n-dimensional cone. Meanwhile, the integral representations of them are also considered, which imply the known representations of classical harmonic functions in the upper half space.