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The Geometric Function Properties of the Limits of ACL-Mappings with Integrable Distortion

  • S. K. Vodopyanov

摘要

Studying the geometric function properties ofthe limits of ACL-mappings with integrable distortionon domains in Carnot groups,we obtain the conditions forthe 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.