Harmonic measures and Poisson kernels on Klein surfaces

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.

Bibliographic Details
Main Author: Monica Rosiu
Format: Article
Language:English
Published: Texas State University 2017-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/269/abstr.html