Computational Methods and Function Theory 3 (2003), No. 1, 385--396
Copyright Heldermann Verlag 2003
Vladimir V. Andrievskii
andriyev@mcs.kent.edu , Department of Mathematical Sciences, Kent State University, Kent, OH 44242, U.S.A.
Let E be a regular compact subset of the real line. We relate the Green function for the complement of E (with respect to the extended complex plane) to some conformal map f. We establish the relationship between the geometry of E and f(E).
Keywords: Green's function, uniformly perfect set, conformal invariants, John domain, c-dense set.
MSC 2000: Primary 30C10, 30C15, 41A10.
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