Boundary behaviour of the mappings satisfying generalized inverse modular inequalities

摘要

We study the geometric properties of the mappings for which generalized inverse modular inequalities hold. We generalize in this way known theorems from the theory of analytic mappings and the theory of quasiregular mappings, like the theorems of Fatou, M. and F. Riesz, Beurling and Lindelof and their extensions given for quasiregular mappings by Martio, Rickman and Vuorinen.