文献类型：期刊文献

英文题名：Asymptotic behavior of Poisson integrals in a cylinder and its application to the representation of harmonic functions

作者：Qiao, Lei[1]

第一作者：乔蕾

通讯作者：Qiao, L[1]

机构：[1]Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Henan, 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, 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：2018

卷号：144

起止页码：39-54

外文期刊名：BULLETIN DES SCIENCES MATHEMATIQUES

收录：;Scopus(收录号：2-s2.0-85042587617);WOS:【SCI-EXPANDED(收录号:WOS:000433999700002)】；

基金：I would like to thank the Editor and the anonymous referees for their careful reading and constructive comments which have helped us to significantly improve the presentation of the paper. This paper was written while I was at the Laboratoire de Mathematiques de Bretagne Atlantique of the Universite de Bretagne-Sud, Vannes, France, as a visiting scholar. I am 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, I am most grateful to the China Scholarship Council for giving me the financial support that allowed me to work in UBS for one year.

语种：英文

外文关键词：Asymptotic behavior; Dirichlet problem; Integral representation

摘要：Our first aim in this paper is to deal with asymptotic behavior of Poisson integrals in a cylinder. Next Carleman's formula for harmonic functions in it is also proved. As an application of them, we finally give the integral representation of harmonic functions in a cylinder. (C) 2018 Elsevier Masson SAS. All rights reserved.