RELATIVE CAPACITY AND THE RELATIVE EXTREMAL FUNCTIONS UNDER HOLOMORPHIC COVERINGS
LE MAU HAI, TANG VAN LONG
Abstract
In this note we establish formulas on the relative capacity of a subset in a domain for cases either is pseudoconvex or is hyperconvex and is a closed subset such that is pluripolar. Moreover the relation between relative extremal functions in a generalized holomorphic covering is studied here.