Conformal maps $f$ of the disk into itself have the property that $\dim f^{-1}(F) \leq \dim F$ for any set $F$ on the unit circle. Journal Information This monthly ...
Transactions of the American Mathematical Society, Vol. 346, No. 2 (Dec., 1994), pp. 605-616 (12 pages) For a finitely-connected domain Ω containing ∞, with boundary Γ, the logarithmic capacity d(Γ) ...
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