On Changing Variables in L p-Spaces with Distributed-Microstructure

N. A. Evseev; A. V. Menovschikov

doi:10.3103/S1066369X20030093

On Changing Variables in L ^p-Spaces with Distributed-Microstructure

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	82-86
Число страниц	5
Журнал	Russian Mathematics
Том	64
Номер выпуска	3
DOI	https://doi.org/10.3103/S1066369X20030093
Состояние	Опубликовано - 1 мар 2020

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10.3103/S1066369X20030093

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abstract = "We study the boundedness of the composition operator in the spaces Lp(V, W1, r(Yv)). 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, direct integral of Banach spaces, Sobolev space, MODELS",

author = "Evseev, {N. A.} and Menovschikov, {A. V.}",

year = "2020",

month = mar,

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doi = "10.3103/S1066369X20030093",

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AU - Evseev, N. A.

AU - Menovschikov, A. V.

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N2 - We study the boundedness of the composition operator in the spaces Lp(V, W1, r(Yv)). 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.

AB - We study the boundedness of the composition operator in the spaces Lp(V, W1, r(Yv)). 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.

KW - composition operator

KW - direct integral of Banach spaces

KW - Sobolev space

KW - MODELS

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U2 - 10.3103/S1066369X20030093

DO - 10.3103/S1066369X20030093

M3 - Article

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EP - 86

JO - Russian Mathematics

JF - Russian Mathematics

SN - 1066-369X

IS - 3

ER -

On Changing Variables in L p-Spaces with Distributed-Microstructure

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On Changing Variables in L ^p-Spaces with Distributed-Microstructure