Abstract:
Studying the geometric function properties of the limits of ACL-mappings with integrable distortion on domains in Carnot groups, we obtain the conditions for the limits of sequences of these mappings to belong to the class ACL. Moreover, such limits have finite distortion and enjoy Luzin's $\mathcal N^{-1}$-property.
Keywords:ACL-mapping, Sobolev mapping, Carnot group, mapping of finite distortion, external distortion operator function, limits of ACL-mappings, Luzin's $\mathcal N^{-1}$-property.
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