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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 303, Pages 89–101
(Mi znsl901)
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This article is cited in 1 scientific paper (total in 1 paper)
The limit set of a Fuchsian group and Dyn'kin's lemma
A. V. Vasin State University for Waterway Communications
Abstract:
A geometric description (like Dyn'kin's lemma for the porous sets) of the sets $E\subset\mathbb T$ such that $\log\operatorname{dist}^{-1}(x,E)$ has bounded lower oscillation (BLO) is given. As a corollary, a new proof of the Shirokov–Semenova theorem on the limit set of a finitely generated Fuchsian group of the second kind is obtained.
Received: 25.11.2003
Citation:
A. V. Vasin, “The limit set of a Fuchsian group and Dyn'kin's lemma”, Investigations on linear operators and function theory. Part 31, Zap. Nauchn. Sem. POMI, 303, POMI, St. Petersburg, 2003, 89–101; J. Math. Sci. (N. Y.), 129:4 (2005), 3977–3984
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https://www.mathnet.ru/eng/znsl901 https://www.mathnet.ru/eng/znsl/v303/p89
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Abstract page: | 204 | Full-text PDF : | 72 | References: | 31 |
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