Integral representation and estimation of harmonic functions in the quaternionic half space

doi:10.1002/mma.4402

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	Integral representation and estimation of harmonic functions in the quaternionic half space
	Zhang, Yan Hui 1,2; Kou, Kit Ian3
	2017-10
Source Publication	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN	0170-4214
Volume	40 Issue:15 Pages: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.
Keyword	Integral Representation Dirichlet Problem Lower Bound
DOI	10.1002/mma.4402
URL	View the original
Indexed By	SCIE
Language	英語English
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
WOS ID	WOS:000409308000009
Publisher	WILEY
The Source to Article	WOS
Scopus ID	2-s2.0-85028975765
Fulltext Access	View Full-Text via DOI View Full-Text via Web of Science
Citation statistics
Document Type	Journal article
Collection	DEPARTMENT OF MATHEMATICS
Corresponding Author	Zhang, Yan Hui
Affiliation	1.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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