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W2040491323 abstract "We denote by HP(R) and (HB(R), resp.) the class of positive (bounded, resp.) harmonic functions on a Riemann surface R. Consider an open Riemann surface W possessing a Green's function and a p-sheeted (1<p<∞) unlimited covering surface W˜ of W with projection map ϕ. We give a necessary and sufficient condition, in terms of Martin boundary, for HX(W)∘ϕ=HX(W˜)(X=P,B). We also give some examples illustrating the above result when W is the unit disc." @default.
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W2040491323 date "2003-04-01" @default.
W2040491323 modified "2023-10-16" @default.
W2040491323 title "Harmonic functions on finitely sheeted unlimited covering surfaces" @default.
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W2040491323 doi "https://doi.org/10.2969/jmsj/1191419119" @default.
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