منابع مشابه
Plurisubharmonic Exhaustion Functions and Almost Complex Stein Structures
We prove that a relatively compact pseudoconvex domain with smooth boundary in an almost complex manifold admits a bounded strictly plurisubharmonic exhaustion function. We use this result in order to study convexity and hyperbolicity properties of these domains and the contact geometry of their boundaries.
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متن کاملSome Remarks on Approximation of Plurisubharmonic Functions
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)...
متن کاملLocal inequalities for plurisubharmonic functions
The main objective of this paper is to prove a new inequality for plurisubharmonic functions estimating their supremum over a ball by their supremum over a measurable subset of the ball. We apply this result to study local properties of polynomial, algebraic and analytic functions. The paper has much in common with an earlier paper [Br] of the author.
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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1975
ISSN: 1385-7258
DOI: 10.1016/1385-7258(75)90003-7