Geodesic
Set Functions and Their Applications in the~Theory of Lebesgue and Sobolev Spaces.~II
Matematičeskie trudy, Tome 7 (2004) no. 1, pp. 13-49

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We study the properties of the mappings inducing a bounded operator of Lebesgue or Sobolev spaces by change of variable and the properties of the operator of extension of functions in Sobolev classes beyond the domain of definition. 
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S. K. Vodop'yanov; A. D.-O. Ukhlov. Set Functions and Their Applications in the~Theory of Lebesgue and Sobolev Spaces.~II. Matematičeskie trudy, Tome 7 (2004) no. 1, pp. 13-49. http://geodesic.mathdoc.fr/item/MT_2004_7_1_a1/