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

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. © 2018, Pleiades Publishing, Ltd.

Authors
Menovshchikov A.V. 1, 2
Journal
Siberian Mathematical Journal
Number of issue
2
Language
English
Pages
332-340
Status
Published
Link
External link
DOI
10.1134/S0037446618020167
Volume
59
Year
2018
Organizations
  • 1 Sobolev Institute of Mathematics Novosibirsk State University, Novosibirsk, Russian Federation
  • 2 Peoples’ Friendship University of Russia, Moscow, Russian Federation
Keywords
biting convergence; codistortion; composition operator; distortion; N-function; Sobolev–Orlicz space
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/6807/
Share

Other records