P-harmonic dimensions on ends
Keyword(s):
Consider an end Ω in the sense of Heins (cf. Heins [3]): Ω is a relatively non-compact subregion of an open Riemann surface such that the relative boundary ∂Ω consists of finitely many analytic Jordan closed curves, there exist no non-constant bounded harmonic functions with vanishing boundary values on ∂Ω and Ω has a single ideal boundary component. A density P = P(z)dxdy (z = x + iy) is a 2-form on Ω∩∂Ω with nonnegative locally Holder continuous coefficient P(z).
1968 ◽
Vol 20
◽
pp. 919-928
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2009 ◽
Vol 86
(1)
◽
pp. 75-95
◽
Keyword(s):
1997 ◽
Vol 56
(1)
◽
pp. 63-68
Keyword(s):