Composition operators in Orlicz–Sobolev spaces


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Abstract

We obtain necessary and sufficient conditions for a homeomorphism of domains in a Euclidean space to generate a bounded embedding operator of the Orlicz–Sobolev spaces defined by a special class of N-functions.

About the authors

A. V. Menovshchikov

Sobolev Institute of Mathematics Novosibirsk State University

Author for correspondence.
Email: antikoerper@mail.ru
Russian Federation, Novosibirsk

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