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Radon-Nikodym Densities between Harmonic Measures on the Ideal Boundary of an Open Riemann Surface
Published online by Cambridge University Press: 22 January 2016
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Resolutive compactification and harmonic measures. Let R be an open Riemann surface. A compact Hausdorff space R* containing R as its dense subspace is called a compactification of R and the compact set Δ = R* -R is called an ideal boundary of R. Hereafter we always assume that R does not belong to the class OG. Given a real-valued function f on Δ, we denote by the totality of lower bounded superharmonic (resp. upper bounded subharmonic) functions sonis satisfying
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1966
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