논문KCI 등재
Necessary and Sufficient Conditions for a Growth Condition of the Exterior Conformal Mapping in a Domain
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Abstract
Suppose that E is a bounded continuum whose complement in the extended complex plane is connected and that g is a conformal mapping from the complement of the closure of the unit disk in the extended complex plane to the complement of E in the extended complex plane with g(1 ) = 1 .In this paper we give some necessary and sufficient conditions for a growth condition of the exterior conformal mapping g which satisfies jg0(w)j m(11jwj2 )k; 1 < jwj < 1 for some 0 k < 1 and m > 0.
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