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The arc-length variation of analytic capacity and a conformal geometry
Published online by Cambridge University Press: 22 January 2016
Extract
For a domain Ω in the extended complex plane C ∪{∞}, H∞(Ω) denotes the Banach space of bounded analytic functions in Ω with supremum norm ∥ · ∥H∞ For ζ ∈ Ω, we put
where f′(∞) = lim,z→∞z{f (∞) = f(z)} if ζ = ∞.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1992