文献类型：期刊文献

英文题名：Asymptotic Behavior for a Class of Modified alpha-Potentials in a Half Space

作者：Qiao, Lei[2];Deng, Guantie[1]

第一作者：乔蕾

通讯作者：Deng, GT[1]

机构：[1]Beijing Normal Univ, MOE, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China;[2]Henan Univ Finance & Econ, Dept Math & Informat Sci, Zhengzhou 450002, Peoples R China

第一机构：Beijing Normal Univ, MOE, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China

通讯机构：[1]corresponding author), Beijing Normal Univ, MOE, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China.

年份：2010

外文期刊名：JOURNAL OF INEQUALITIES AND APPLICATIONS

收录：;Scopus(收录号：2-s2.0-77956740976);WOS:【SCI-EXPANDED(收录号:WOS:000281302700001)】；

基金：This work is supported by The National Natural Science Foundation of China under Grant 10671022 and Specialized Research Fund for the Doctoral Program of Higher Education under Grant 20060027023.

语种：英文

摘要：A class of alpha-potentials represented as the sum of modified Green potential and modified Poisson integral are proved to have the growth estimates R-alpha,R-l,R-l(x) = o(x(n)(beta)|x|(l-2 beta+2)h(|x|)(-1)) at infinity in the upper-half space of the n-dimensional Euclidean space, where the function h(|x|) is a positive non-decreasing function on the interval (0,infinity) satisfying certain conditions. This result generalizes the growth properties of analytic functions, harmonic functions, and superharmonic functions.