$q$-plurisubharmonic functions and a generalized Dirichlet problem.
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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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 1978
ISSN: 0026-2285
DOI: 10.1307/mmj/1029002112