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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 303, Pages 89–101 (Mi znsl901)  
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
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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
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 129, Issue 4, Pages 3977–3984
DOI: https://doi.org/10.1007/s10958-005-0333-6
Bibliographic databases:
UDC: 517.5
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Vas03}
\by A.~V.~Vasin
\paper The limit set of a~Fuchsian group and Dyn'kin's lemma
\inbook Investigations on linear operators and function theory. Part~31
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 303
\pages 89--101
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl901}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2037532}
\zmath{https://zbmath.org/?q=an:1171.30310}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 129
\issue 4
\pages 3977--3984
\crossref{https://doi.org/10.1007/s10958-005-0333-6}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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