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On the behavior of strictly plurisubharmonic functions near real hypersurfaces
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2007 (English)In: Arkiv för matematik, ISSN 0004-2080, E-ISSN 1871-2487, Vol. 45, no 1, 71-82 p.Article in journal (Refereed) Published
Abstract [en]

We describe the behavior of certain strictly plurisubharmonic functions near some real hypersurfaces in ℂ n , n≥3. Given a hypersurface we study continuous plurisubharmonic functions which are zero on the hypersurface and have Monge–Ampère mass greater than one in a one-sided neighborhood of the hypersurface. If we can find complex curves which have sufficiently high contact order with the hypersurface then the plurisubharmonic functions we study cannot be globally Lipschitz in the one-sided neighborhood.

Place, publisher, year, edition, pages
2007. Vol. 45, no 1, 71-82 p.
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URN: urn:nbn:se:uu:diva-22846DOI: 10.1007/s11512-006-0029-2OAI: oai:DiVA.org:uu-22846DiVA: diva2:50619
Available from: 2007-01-23 Created: 2007-01-23 Last updated: 2010-05-17Bibliographically approved

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