Journal article
Continuous pluriharmonic boundary values

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Author list: Åhag, Per
Publication year: 2007
Start page: 99
End page: 117
Number of pages: 19
ISSN: 0066-2216
View additional information: View in Web of Science™

Abstract

Let D-j be a bounded hyperconvex domain in C-nj and set D = D-1 x ..... x D-s, j = 1,...,s, s >= 3. Also let G(n) be the symmetrized polydisc in C-n, n >= 3. We characterize those real-valued continuous functions defined on the boundary of D or G. which can be extended to the inside to a pluriharmonic function. As an application a complete characterization of the compliant functions is obtained.


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