Abstract:
Under study are the measurable mappings of Riemannian manifolds which induce bounded operators in Sobolev spaces in accordance with the change-of-variables rule. We obtain an equivalent description of the mappings and a few of their additional properties.
Keywords:Riemannian manifold, $\operatorname{ACL}$-mapping, mappings of finite distortion, exterior operator distortion function, composition operator and its description, Luzin's $\mathscr N^{-1}$-property.
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