Eliminability results for mappings satisfying generalized modular inequalities

Abstract

We prove eliminability results for some open, discrete mappings f:D∖E→Rn¯ such that Mq(f(Γ))≤γ(Mωp(Γ)) for every Γ∈A(D∖E) in the case n−1<q<n and for sets E⊂D such that Mωp(E)=0. For such mappings there always exists limy→xy∈D∖Ef(y)∈Rn for every x∈E. We also prove Zoric's type results in the case n−1<q<n.