Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 26, Tome 255 (1998), pp. 177-183
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O. L. Semenova. A property of purely hyperbolic Fuchsian groups of the second kind. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 26, Tome 255 (1998), pp. 177-183. http://geodesic.mathdoc.fr/item/ZNSL_1998_255_a11/
@article{ZNSL_1998_255_a11,
author = {O. L. Semenova},
title = {A property of purely hyperbolic {Fuchsian} groups of the second kind},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {177--183},
year = {1998},
volume = {255},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_255_a11/}
}
TY - JOUR
AU - O. L. Semenova
TI - A property of purely hyperbolic Fuchsian groups of the second kind
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1998
SP - 177
EP - 183
VL - 255
UR - http://geodesic.mathdoc.fr/item/ZNSL_1998_255_a11/
LA - ru
ID - ZNSL_1998_255_a11
ER -
%0 Journal Article
%A O. L. Semenova
%T A property of purely hyperbolic Fuchsian groups of the second kind
%J Zapiski Nauchnykh Seminarov POMI
%D 1998
%P 177-183
%V 255
%U http://geodesic.mathdoc.fr/item/ZNSL_1998_255_a11/
%G ru
%F ZNSL_1998_255_a11
Let $G$ be a purely hyperbolic finitely generated non-elementary Fuchsian group of the second kind. If $\Lambda$ is the limit set of the group $G$, then the function $\log(\mathrm{dist}\,(x,\Lambda))$ belongs to the class BMO. This follows from the fact that $\Lambda$ is porous, which is proved in the paper.
