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

Сибирский математический журнал

A. V. Menovshchikov¹ 

[1] Sobolev Institute of Mathematics Novosibirsk State University

关键词: Sobolev–Orlicz space;    distortion;    codistortion;    biting convergence;    composition operator;    N-function;   

DOI  :  10.1134/S0037446618020167

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

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.

【 授权许可】

CC BY