Martin compactifications of the punctured disk with close to rotation free densities
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- by Toshimasa Tada PDF
- Proc. Amer. Math. Soc. 103 (1988), 483-486 Request permission
Abstract:
The purpose of this paper is to prove that Martin compactifications $\Omega _P^*$ and $\Omega _Q^*$ of the punctured unit disk $\Omega :0 < |z| < 1$ with respect to equations $\Delta u = Pu$ and $\Delta u = Qu$, respectively, are homeomorphic to each other if $|P(z) - Q(z)| = O(|z{|^{ - 2}})(z \to 0)$ and $P(z) = P(|z|)(z \in \Omega )$.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 483-486
- MSC: Primary 31C35; Secondary 30F25
- DOI: https://doi.org/10.1090/S0002-9939-1988-0943071-0
- MathSciNet review: 943071