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The Lower Semicontinuity of Distortion Coefficients of the Homeomorphisms Inducing Bounded Composition Operators of Sobolev–Orlicz Spaces. / Menovshchikov, A. V.
в: Siberian Mathematical Journal, Том 59, № 2, 01.03.2018, стр. 332-340.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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