An estimate on the distortion of the logarithmic capacity
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- by María J. González PDF
- Proc. Amer. Math. Soc. 126 (1998), 1429-1431 Request permission
Abstract:
Let $\Gamma$ be a Fuchsian group. We show that the existence of a set on $\partial \mathbb {D}$ with no $\Gamma$-equivalent points and positive logarithmic capacity does not imply that $\Gamma$ is of convergence type.References
- Lennart Carleson, Selected problems on exceptional sets, Van Nostrand Mathematical Studies, No. 13, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1967. MR 0225986
- Christian Pommerenke, On the Green’s fundamental domain, Math. Z. 156 (1977), no. 2, 157–164. MR 463431, DOI 10.1007/BF01178760
Additional Information
- María J. González
- Affiliation: Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bella- terra, Barcelona, Spain
- Address at time of publication: Departamento de Matemàtices, CASEM, Universidad de Cádiz, 11519 Puerto Real, Cádiz, Spain
- Email: gonzalez@mat.uab.es, majose.gonzalez@uca.es
- Received by editor(s): October 21, 1996
- Additional Notes: Research supported by DGICYT Grant PB92-0804-C02-02 and by CIRIT grant GRQ94-2014, Spain.
- Communicated by: Linda Keen
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 1429-1431
- MSC (1991): Primary 30C85, 30F35
- DOI: https://doi.org/10.1090/S0002-9939-98-04194-X
- MathSciNet review: 1443154