Relative capacity and the relative extremal functions under holomorphic coverings
http://journals.math.ac.vn/acta/pdf/0902275.pdfPublisher, magazine: ,
Publication year: 2009
Lưu Trích dẫn Chia sẻAbstract
In this note we establish formulas on the relative capacity of a subset E in a domain Ω ⊂ Cn for cases either Ω is pseudoconvex or Ω is hyperconvex and E ⊂ Ω is a closed subset such that ECn ∩ ∂Ω is pluripolar. Moreover the relation between relative extremal functions in a generalized holomorphic covering is studied here.
Tags: Relative capacity, Monge-Amp¯e re operator, property (P), relative extremal function, generalized holomorphic covering.
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