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Composition operators on Sobolev spaces and weighted moduli inequalities by Gol'dshtein, Vladimir; Sevost'yanov, Evgeny; Ukhlov, Alexander is a scholarly article available to read on EtoBox.

What is Composition operators on Sobolev spaces and weighted moduli inequalities about?

In this paper we study connections between composition operators on Sobolev spaces and mappings defined by $p$-moduli inequalities ($p$-capacity inequalities). We prove that weighted moduli inequalities lead to composition operators on corresponding Sobolev spaces and inverse, composition operators on Sobolev spaces imply weighted moduli inequalities.

Author

Gol'dshtein, Vladimir; Sevost'yanov, Evgeny; Ukhlov, Alexander

Published

2021

Language

EN