On I. P. Mityuk's results on the the behavior of the inner radius of a domain and the condenser's capacity under regular mappings

The classical Lindelöf principle on the behavior of Green's function under a regular mapping is generalized to the case of Robinson's function with a pole at a boundary point. In addition reverse inequalities in the Lindelöf principle are considered. As corollaries, certain analogs of Mityuk's theorems on the behavior of the inner radius of a domain are established. Also we supplement a special case of a Mityuk's theorems and a Kloke's result on the change of the condenser capacity under a multivalent mapping. Bibl. – 19 titles.