Bergman–Shilov boundary for subfamilies of $q$-plurisubharmonic functions
نویسندگان
چکیده
منابع مشابه
Plurisubharmonic functions in calibrated geometry and q-convexity
Let (M,ω) be a Kähler manifold. An integrable function φ on M is called ω-plurisubharmonic if the current ddφ ∧ ω is positive. We prove that φ is ωplurisubharmonic if and only if φ is subharmonic on all q-dimensional complex subvarieties. We prove that a ωplurisubharmonic function is q-convex, and admits a local approximation by smooth, ω-plurisubharmonic functions. For any closed subvariety Z ...
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In this paper we introduce and study the notion of plurisubharmonic functions in calibrated geometry. These functions generalize the classical plurisubharmonic functions from complex geometry and enjoy many of their important properties. Moreover, they exist in abundance whereas the corresponding pluriharmonics are generally quite scarce. A number of the results established in complex analysis ...
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ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 2016
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap3695-1-2016