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JOURNALS // Eurasian Mathematical Journal // Archive

Eurasian Math. J., 2023 Volume 14, Number 1, Pages 39–54 (Mi emj461)

This article is cited in 3 papers

An introduction to composition operators in Sobolev spaces

G. Bourdaud

I.M.J. - P.R.G (UMR 7586), Université Paris Cité and Sorbonne Université, Batiment Sophie Germain, Case 7012, 75205 Paris Cedex 13, France

Abstract: We propose a survey of the results on the composition operators in classical Sobolev spaces, obtained between 1975 and 2020. A first version of these notes were the subject of a series of lectures, given in Padova University in January 2018.

Keywords and phrases: composition operators, Sobolev spaces.

MSC: 46E35, 47H30

Received: 11.07.2022

Language: English

DOI: 10.32523/2077-9879-2023-14-1-39-54



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© Steklov Math. Inst. of RAS, 2026