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On mappings generating the embeddings of Sobolev spaces

A. D.-O. Ukhlov


Abstract: Composition of functions of a Sobolev space and mappings given on Euclidean domains is considered. Equivalent analytic and geometric descriptions are obtained for the class of mappings generating bounded embeddings of Sobolev spaces.

UDC: 517.54

Received: 18.06.1991
Revised: 02.12.1991

 English version: Siberian Mathematical Journal, 1993, 34:1, 165–171

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