ON I. P. MITYUK'S RESULTS ON THE BEHAVIOR OF THE INNER RADIUS OF A DOMAIN AND THE CONDENSER CAPACITY UNDER REGULAR MAPPINGS

摘要

The classical Lindelof principle on the behavior of Green's function under a regular mapping is generalized to the case of Robin function with a pole at a boundary point. In addition, inequalities inverse to the Lindelof principle are considered. As corollaries, certain analogs of Mityuk's theorems on the behavior of the inner radius of a domain are established. Also a particular case of a Mityuk's theorem and a Kloke's result on the change of the condenser capacity under a multivalent mapping are supplemented. Bibliography: 19 titles.