文献类型：期刊文献

英文题名：THEOREMS OF THE PHRAGMEN-LINDELOF TYPE FOR SUBFUNCTIONS IN A CONE

作者：Qiao, Lei[1,3];Pan, Guoshuang[2]

第一作者：Qiao, Lei;乔蕾

通讯作者：Qiao, L[1];Qiao, L[2]

机构：[1]Univ Bretagne Sud, UMR 6205, Lab Math Bretagne Atlantique, F-56000 Vannes, France;[2]Beijing Natl Day Sch, 66 Yuquan Rd, Beijing 100039, Peoples R China;[3]Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Henan, Peoples R China

第一机构：Univ Bretagne Sud, UMR 6205, Lab Math Bretagne Atlantique, F-56000 Vannes, France

通讯机构：[1]corresponding author), Univ Bretagne Sud, UMR 6205, Lab Math Bretagne Atlantique, F-56000 Vannes, France;[2]corresponding author), Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Henan, 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：2017

卷号：60

期号：3

起止页码：739-751

外文期刊名：PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000406223200011)】；

基金：This work was supported by the National Natural Science Foundation of China (Grants U1304102, 11301140). The authors would like to thank the the anonymous referees for valuable comments and remarks. This paper was written while L.Q. was at the Laboratoire de Mathematiques de Bretagne Atlantique of the Universite de Bretagne-Sud, Vannes, France, as a visiting scholar. He is grateful for the support and hospitality of this university, and also would like to express gratitude to Professor Quansheng Liu for his kind and cordial help. In particular, he is most grateful to the China Scholarship Council for giving him the financial support that allowed him to work in UBS for one year.

语种：英文

外文关键词：stationary Schrodinger operator; Poisson-Sch integral; Phragmen-Lindelof; cone

摘要：Our first aim in this paper is to deal with the maximum principle for subfunctions in an arbitrary unbounded domain. As an application, we next give a result concerning the classical Phragmen-Lindelof theorem for subfunctions in a cone. For a subfunction defined in a cone that is dominated on the boundary by a certain function, we finally generalize the Phragmen-Lindelof type theorem by making a generalized harmonic majorant of it.