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Carlehed, Magnus
Publications (3 of 3) Show all publications
Carlehed, M., Cegrell, U. & Wikström, F. (1999). Jensen measures, hyperconvexity and boundary behaviour of the pluricomplex Green function. Annales Polonici Mathematici, 71(1), 87-103
Open this publication in new window or tab >>Jensen measures, hyperconvexity and boundary behaviour of the pluricomplex Green function
1999 (English)In: Annales Polonici Mathematici, ISSN 0066-2216, Vol. 71, no 1, p. 87-103Article in journal (Refereed) Published
Abstract [en]

We characterise hyperconvexity in terms of Jensen measures with barycentre at a boundary point. We also give an explicit formula for the pluricomplex Green function in the Hartogs' triangle. Finally we study the behaviour of the pluricomplex Green function $g(z,w)$ as the pole $w$ tends to a boundary point.
Keywords
Jensen measures, hyperconvex domains, pluricomplex Green functions
National Category
Mathematics
Identifiers
urn:nbn:se:miun:diva-4046 (URN)4534 (Local ID)4534 (Archive number)4534 (OAI)
Available from: 2008-09-30 Created: 2008-09-30 Last updated: 2025-09-25Bibliographically approved
Carlehed, M. (1998). Comparison of the pluricomplex and the classical Green funcions. The Michigan mathematical journal, 45(2), 399-407
Open this publication in new window or tab >>Comparison of the pluricomplex and the classical Green funcions
1998 (English)In: The Michigan mathematical journal, ISSN 0026-2285, E-ISSN 1945-2365, Vol. 45, no 2, p. 399-407Article in journal (Refereed) Published
National Category
Mathematics
Identifiers
urn:nbn:se:miun:diva-9736 (URN)10.1307/mmj/1030132191 (DOI)
Available from: 2009-09-21 Created: 2009-09-21 Last updated: 2025-09-25Bibliographically approved
Carlehed, M. (1997). Comparison of the pluricomplex and the classical Green functions.
Open this publication in new window or tab >>Comparison of the pluricomplex and the classical Green functions
1997 (English)Report (Other academic)
Series
Rapport / Mitthögskolan, ISSN 1104-294X ; 1997:5
National Category
Mathematics
Identifiers
urn:nbn:se:miun:diva-9726 (URN)
Available from: 2009-09-18 Created: 2009-09-18 Last updated: 2025-09-25Bibliographically approved
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