Half Dirichlet problems and decompositions of poisson kernels
Delanghe R.1; Qian T.2
Conference NameConference on Function Theories in Higher Dimensions
Source PublicationAdvances in Applied Clifford Algebras
Conference DateJUN 12-16, 2006
Conference PlaceTampere Univ Technol, Tampere, FINLAND

Following the previous study on the unit ball of Delanghe et al, half-Dirichlet problems for the upper-half space are presented and solved. The solutions further lead to decompositions of the Poisson kernels, and the fact that the classical Dirichlet problems may be solved merely by using Cauchy transformation in the respective two contexts. We show that the only domains for which the half-Dirichlet problems are solvable in the same pattern are balls and half-spaces. 

KeywordCauchy Kernel Dirichlet Problem Poisson Kernel
URLView the original
Indexed BySCI
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Mathematical
WOS IDWOS:000249225400006
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Cited Times [WOS]:3   [WOS Record]     [Related Records in WOS]
Document TypeConference paper
CollectionUniversity of Macau
Affiliation1.Department of Mathematical Analysis Ghent University Galglaan 2 9000 Gent Belgium
2.Department of Mathematics University of Macau Macao SAR P.R. China
Recommended Citation
GB/T 7714
Delanghe R.,Qian T.. Half Dirichlet problems and decompositions of poisson kernels[C],2007:383-393.
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