Harmonic null sets and the Painlevé theorem
Author:
J. L. Schiff
Journal:
Proc. Amer. Math. Soc. 43 (1974), 171-172
MSC:
Primary 30A50; Secondary 31A20
DOI:
https://doi.org/10.1090/S0002-9939-1974-0330447-8
MathSciNet review:
0330447
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Abstract | References | Similar Articles | Additional Information
Abstract: A less restrictive condition on an open Riemann surface than has been formerly known for a subset of the ideal boundary of a resolutive compactification to have harmonic measure zero is demonstrated. Then a generalized version of a classical theorem of Painlevé is established in this framework.
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- [4] Paul Painlevé, Sur les lignes singulières des fonctions analytiques, Ann. Fac. Sci. Toulouse Sci. Math. Sci. Phys. 2 (1888), B1–B130 (French). MR 1508069
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1974-0330447-8
Article copyright:
© Copyright 1974
American Mathematical Society
