Equicontinuity of the family of the open discrete Orlicz--Sobolev mappings
Abstract
The paper is devoted to the study of mappings with non--bounded characteristics of quasiconformality. We investigate the interconnection between the classes of the so-called ring Q-mappings and lower ring Q-mappings. It is proved that open discrete lower ring Q-mappings are ring Qn-1-mappings at fixed point. As consequence we obtain the equicontinuity of the class of the open discrete Orlicz--Sobolev mappings with finite distortion at n 3.
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