Radon-Nikodym Densities between Harmonic Measures on the Ideal Boundary of an Open Riemann Surface
- 1 February 1966
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 27 (1) , 71-76
- https://doi.org/10.1017/s0027763000011880
Abstract
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 satisfyingKeywords
This publication has 1 reference indexed in Scilit:
- Ideale Ränder Riemannscher FlächenPublished by Springer Nature ,1963