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Integral representation and estimation of harmonic functions in the quaternionic half space
Zhang, Yan Hui1,2; Kou, Kit Ian3
2017-10
Source PublicationMATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN0170-4214
Volume40Issue:15Pages:5484-5489
Abstract

In this article, we discuss the integral representation of quaternionic harmonic functions in the half space with the general boundary condition. Next, we derive a lower bound from an upper one for quaternionic harmonic functions. These results generalize some of the classic results from the case of plane to the case of noncommutative quaterninionic half space. Copyright (c) 2017 John Wiley & Sons, Ltd.

KeywordIntegral Representation Dirichlet Problem Lower Bound
DOIhttps://doi.org/10.1002/mma.4402
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000409308000009
PublisherWILEY
The Source to ArticleWOS
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Cited Times [WOS]:0   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorZhang, Yan Hui
Affiliation1.Department of Mathematics, Beijing Technology and Business University, Beijing 100048, China
2.School of Mathematics, University College Cork, Cork, Ireland
3.Department of Mathematics, Faculty of Science and Technology, University of Macau, Macau
Recommended Citation
GB/T 7714
Zhang, Yan Hui,Kou, Kit Ian. Integral representation and estimation of harmonic functions in the quaternionic half space[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2017,40(15):5484-5489.
APA Zhang, Yan Hui,&Kou, Kit Ian.(2017).Integral representation and estimation of harmonic functions in the quaternionic half space.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,40(15),5484-5489.
MLA Zhang, Yan Hui,et al."Integral representation and estimation of harmonic functions in the quaternionic half space".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 40.15(2017):5484-5489.
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