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Conformal capacity and the quasihyperbolic metric

Conformal capacity and the quasihyperbolic metric

By examining certain capacity conditions we establish a connection between two classes of domains in R n introduced by Gehring and Martio.We present new characterizations, for uniform domains and for domains which satisfy a quasihyperbolic boundary condition, which are valid in the category of domains quasiconformally equivalent to uniform domains.We …