Abstract
We consider some classes of mappings which are ACL n and a.e. Such mappings generalize quasiregular mappings, but are not necessarily open, and the Jacobian not necessarily a constant sign and satisfy the K 0(f) inequality. We also consider nonopen and nonsingular mappings with bounded dilatation K α and we show that such mappings satisfy a strong ACL condition, extending in this way some results from (Kallunki, 2002, Mappings of finite distortion: The metric definition. Ann. Acad. Sci. Fenn, Math., Diss.., 131, 1–33).
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