Composition operators on Sobolev spaces and weighted moduli inequalities

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

Composition operators on Sobolev spaces and weighted moduli inequalities

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

Department of Mathematics

Research output: Working paper/Preprint › Preprint

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Abstract

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.

Original language	English
State	Published - 21 Dec 2021

Keywords

math.AP
46E35, 30C65

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2112.11418v1

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abstract = " 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. ",

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author = "Vladimir Gol'dshtein and Evgeny Sevost'yanov and Alexander Ukhlov",

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M3 - Preprint

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Composition operators on Sobolev spaces and weighted moduli inequalities

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Keywords

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