文献类型：期刊文献

英文题名：Rarefied sets at infinity associated with the Schrodinger operator

作者：Xue, Gaixian

第一作者：薛改仙

通讯作者：Xue, GX[1]

机构：[1]Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, 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), Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Peoples R China.|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

年份：2014

外文期刊名：JOURNAL OF INEQUALITIES AND APPLICATIONS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000342507600001)】；

基金：This work was supported by the National Natural Science Foundation of China under Grants Nos. 11301140 and U1304102.

语种：英文

外文关键词：rarefied set; Schrodinger operator; Green a-potential

摘要：This paper gives some criteria for a-rarefied sets at infinity associated with the Schrodinger operator in a cone. Our proofs are based on estimating Green a-potential with a positive measure by connecting with a kind of density of the modified measure. Meanwhile, the geometrical property of this a-rarefied sets at infinity is also considered. By giving an example, we show that the reverse of this property is not true.