Radon-Nikodym Densities between Harmonic Measures on the Ideal Boundary of an Open Riemann Surface
Keyword(s):
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
Keyword(s):
1956 ◽
Vol 32
(6)
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pp. 409-411
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1953 ◽
pp. 107-110
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1974 ◽
Vol 26
(4)
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pp. 920-930
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2012 ◽
Vol 88
(1)
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pp. 12-16
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