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April 2007 On the behavior of strictly plurisubharmonic functions near real hypersurfaces
Björn Ivarsson
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Ark. Mat. 45(1): 71-82 (April 2007). DOI: 10.1007/s11512-006-0029-2

Abstract

We describe the behavior of certain strictly plurisubharmonic functions near some real hypersurfaces in ℂn, 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.

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Björn Ivarsson. "On the behavior of strictly plurisubharmonic functions near real hypersurfaces." Ark. Mat. 45 (1) 71 - 82, April 2007. https://doi.org/10.1007/s11512-006-0029-2

Information

Received: 19 December 2005; Published: April 2007
First available in Project Euclid: 31 January 2017

zbMATH: 1148.32014
MathSciNet: MR2312954
Digital Object Identifier: 10.1007/s11512-006-0029-2

Rights: 2007 © Institut Mittag-Leffler

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Vol.45 • No. 1 • April 2007
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