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The Lower Semicontinuity of Distortion Coefficients of the Homeomorphisms Inducing Bounded Composition Operators of Sobolev–Orlicz Spaces. / Menovshchikov, A. V.

In: Siberian Mathematical Journal, Vol. 59, No. 2, 01.03.2018, p. 332-340.

Research output: Contribution to journal › Article › peer-review

Harvard

Menovshchikov, AV 2018, 'The Lower Semicontinuity of Distortion Coefficients of the Homeomorphisms Inducing Bounded Composition Operators of Sobolev–Orlicz Spaces', Siberian Mathematical Journal, vol. 59, no. 2, pp. 332-340. https://doi.org/10.1134/S0037446618020167

APA

Menovshchikov, A. V. (2018). The Lower Semicontinuity of Distortion Coefficients of the Homeomorphisms Inducing Bounded Composition Operators of Sobolev–Orlicz Spaces. Siberian Mathematical Journal, 59(2), 332-340. https://doi.org/10.1134/S0037446618020167

Vancouver

Menovshchikov AV. The Lower Semicontinuity of Distortion Coefficients of the Homeomorphisms Inducing Bounded Composition Operators of Sobolev–Orlicz Spaces. Siberian Mathematical Journal. 2018 Mar 1;59(2):332-340. doi: 10.1134/S0037446618020167

Author

Menovshchikov, A. V. / The Lower Semicontinuity of Distortion Coefficients of the Homeomorphisms Inducing Bounded Composition Operators of Sobolev–Orlicz Spaces. In: Siberian Mathematical Journal. 2018 ; Vol. 59, No. 2. pp. 332-340.

BibTeX

@article{4bd71cf96af940c892b760305ea40e43,
title = "The Lower Semicontinuity of Distortion Coefficients of the Homeomorphisms Inducing Bounded Composition Operators of Sobolev–Orlicz Spaces",
abstract = "We determine the conditions under which the locally uniform limit of mappings generating bounded composition operators of Sobolev–Orlicz spaces also generates an operator of this kind. We estimate the distortion coefficient of the limit mapping.",
keywords = "biting convergence, codistortion, composition operator, distortion, N-function, Sobolev–Orlicz space",
author = "Menovshchikov, {A. V.}",
year = "2018",
month = mar,
day = "1",
doi = "10.1134/S0037446618020167",
language = "English",
volume = "59",
pages = "332--340",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "2",

}

RIS

TY - JOUR

T1 - The Lower Semicontinuity of Distortion Coefficients of the Homeomorphisms Inducing Bounded Composition Operators of Sobolev–Orlicz Spaces

AU - Menovshchikov, A. V.

PY - 2018/3/1

Y1 - 2018/3/1

N2 - We determine the conditions under which the locally uniform limit of mappings generating bounded composition operators of Sobolev–Orlicz spaces also generates an operator of this kind. We estimate the distortion coefficient of the limit mapping.

AB - We determine the conditions under which the locally uniform limit of mappings generating bounded composition operators of Sobolev–Orlicz spaces also generates an operator of this kind. We estimate the distortion coefficient of the limit mapping.

KW - biting convergence

KW - codistortion

KW - composition operator

KW - distortion

KW - N-function

KW - Sobolev–Orlicz space

UR - http://www.scopus.com/inward/record.url?scp=85046647538&partnerID=8YFLogxK

U2 - 10.1134/S0037446618020167

DO - 10.1134/S0037446618020167

M3 - Article

AN - SCOPUS:85046647538

VL - 59

SP - 332

EP - 340

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 2

ER -

ID: 13332912