We introduce harmonic measure on a Klein surface and obtain a formula for the solution of the Dirichlet problem on a Klein surface, which is an analogue for the Poisson integral. We rewrite the Radon-Nikodym derivative of harmonic measure against the corresponding arc length.
Submitted July 20, 2017. Published October 31, 2017.
Math Subject Classifications: 30F50, 35J25.
Key Words: Klein surface; Green's function; harmonic measure; Poisson kernel.
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| Monica Rosiu |
Department of Mathematics
University of Craiova
Street A. I. Cuza No 13
Craiova 200585, Romania
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