THE LIMIT SET OF A FUCHSIAN GROUP AND DYN'KIN'S LEMMA

摘要

A geometric description (similar to Dyn'kin's lemma for porous sets) of the sets E is contained in T such that log dist~(-1)(X, E) has a 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.