文献类型：期刊文献

英文题名：A remark on the Dirichlet problem in a half-plane

作者：Zhao, Tao[1];Yamada, Alexander Jr.[2]

第一作者：赵涛

通讯作者：Yamada, AJ[1]

机构：[1]Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Peoples R China;[2]Stockholm Univ, Inst Matemat, S-10691 Stockholm, Sweden

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), Stockholm Univ, Inst Matemat, S-10691 Stockholm, Sweden.

年份：2014

卷号：2014

期号：1

外文期刊名：JOURNAL OF INEQUALITIES AND APPLICATIONS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000347470400009)】；

基金：The authors are very thankful to the anonymous referees for their valuable comments and constructive suggestions, which helped to improve the quality of the paper. This work is supported by the Academy of Finland Grant No. 176512.

语种：英文

外文关键词：harmonic function; Dirichlet problem; half-plane

摘要：In this paper, we prove that if the positive part u(+)(z) of a harmonic function u(z) in a half-plane satisfies a slowly growing condition, then its negative part u(-)(z) can also be dominated by a similarly growing condition. Further, a solution of the Dirichlet problem in a half-plane for a fast growing continuous boundary function is constructed by the generalized Dirichlet integral with this boundary function.