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Continuous pluriharmonic boundary values
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
2007 (English)In: Annales Polonici Mathematici, ISSN 0066-2216, E-ISSN 1730-6272, Vol. 91, no 2-3, p. 99-117Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2007. Vol. 91, no 2-3, p. 99-117
Keywords [en]
MONGE-AMPERE OPERATOR; PLURISUBHARMONIC-FUNCTIONS; SYMMETRIZED BIDISC; DIRICHLET PROBLEM; GEOMETRY; EQUATION
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-11848ISI: 000255160600002OAI: oai:DiVA.org:miun-11848DiVA, id: diva2:330148
Conference
International Summer School in Several Complex Variables, Jun 19-23, 2006, Szczyrk, Poland
Note
International Summer School in Several Complex Variables, Jun 19-23, 2006, Szczyrk, PolandAvailable from: 2010-07-14 Created: 2010-07-14 Last updated: 2017-12-12Bibliographically approved

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Åhag, Per

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