On the behavior of strictly plurisubharmonic functions near real hypersurfaces |
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Authors: | Björn Ivarsson |
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Institution: | (1) Institute of Mathematics, University of Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland |
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Abstract: | 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. |
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Keywords: | |
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