Approximation of plurisubharmonic functions on complex varieties
نویسندگان
چکیده
منابع مشابه
Smooth Approximation of Plurisubharmonic Functions on Almost Complex Manifolds
This note establishes smooth approximation from above for Jplurisubharmonic functions on an almost complex manifold (X, J). The following theorem is proved. Suppose X is J-pseudoconvex, i.e., X admits a smooth strictly J-plurisubharmonic exhaustion function. Let u be an (upper semi-continuous) J-plurisubharmonic function on X. Then there exists a sequence uj ∈ C∞(X) of smooth strictly Jplurisub...
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Let Ω be a domain in Cn. An upper semicontinuous function u : Ω → [−∞,∞) is said to be plurisubharmonic if the restriction of u to each complex line is subharmonic (we allow the function identically −∞ to be plurisubharmonic). We say that u is strictly plurisubharmonic if for every z0 ∈ Ω there is a neigbourhood U of z0 and λ > 0 such that u(z) − λ|z|2 is plurisubharmonic on U . We write PSH(Ω)...
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Algebraic varieties V are investigated on which the natural analogue of the classical Phragmén-Lindelöf principle for plurisubharmonic functions holds. For a homogeneous polynomial P in three variables it is shown that its graph has this property if and only if P has real coefficients, no elliptic factors, is locally hyperbolic in all real characteristics, and the localizations in these charact...
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ژورنال
عنوان ژورنال: International Journal of Mathematics
سال: 2017
ISSN: 0129-167X,1793-6519
DOI: 10.1142/s0129167x17501075