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Change of variables for Sobolev functions on metric measure spaces ArticleGenre_short.SHORT_COMMUNICATION

Journal Russian Mathematical Surveys
ISSN: 0036-0279 , E-ISSN: 1468-4829
Output data Year: 2025, Volume: 80, Number: 5, Pages: 919–921 Pages count : 3 DOI: 10.4213/rm10265e
Tags composition operator, metric measure space, Sobolev space, Q_{q,p}-homeomorphism, mapping with finite distortion, Sobolev mapping in the sense of Reshetnyak.
Authors Sboev D.A. 1 , Vodopyanov S.K. 1
Affiliations
1 Novosibirsk State University

Funding (1)

1 Mathematical Center in Akademgorodok 075-15-2022-282

Abstract: We obtain a description of the homeomorphisms which induce bounded composition operators in Sobolev spaces of functions on metric measure spaces.
Cite: Sboev D.A. , Vodopyanov S.K.
Change of variables for Sobolev functions on metric measure spaces
Russian Mathematical Surveys. 2025. V.80. N5. P.919–921. DOI: 10.4213/rm10265e Scopus
Original: Водопьянов С.К. , Сбоев Д.А.
Замены переменной для функций классов Соболева на метрических пространствах с мерой
Успехи математических наук. 2025. Т.80. №5. С.181–182. DOI: 10.4213/rm10265
Dates:
Submitted: Jul 28, 2025
Accepted: Aug 7, 2025
Published print: Jan 12, 2026
Identifiers:
Scopus: 2-s2.0-105029948428
Citing: Пока нет цитирований
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