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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 3, Pages 92–97
DOI: https://doi.org/10.26907/0021-3446-2020-3-92-97 (Mi ivm9555) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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On changing variables in $L^p$-spaces with distributed-microstructure

N. A. Evseevab, A. V. Menovschikovba

a Novosibirsk State University, 1 Pirogov str., Novosibirsk, 630090 Russia
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, 4 Ac. Koptyug Ave., Novosibirsk, 630090 Russia
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DOI: https://doi.org/10.26907/0021-3446-2020-3-92-97
Abstract: We study the boundedness of the composition operator in the spaces $L^p(V, W^{1,r}(Y_v))$. Such spaces arise when modeling the transport processes in a porous medium. It is assumed that the operator is induced by a mapping preserving the priority of the variables, which agrees with the physical requirements for the model.
Keywords: composition operator, Sobolev spaces, direct integral of Banach spaces.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-00089
Received: 08.10.2019
Revised: 08.10.2019
Accepted: 18.12.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 3, Pages 82–86
DOI: https://doi.org/10.3103/S1066369X20030093
Bibliographic databases:
Document Type: Article
UDC: 517.548:517.988
Language: Russian
Citation: N. A. Evseev, A. V. Menovschikov, “On changing variables in $L^p$-spaces with distributed-microstructure”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 3, 92–97; Russian Math. (Iz. VUZ), 64:3 (2020), 82–86
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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