Lower Semicontinuity of Distortion Coefficients for Homeomorphisms of Bounded (1, σ)-Weighted (q, p)-Distortion on Carnot Groups

被引：1

作者：

Vodopyanov, S. K. ^{[1
]}

Sboev, D. A. ^{[1
]}

机构：

[1] Novosibirsk State Univ, Novosibirsk 630090, Russia

来源：

RUSSIAN MATHEMATICS | 2024年 / 68卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

lower semicontinuity; homeomorphism with bounded (1; sigma)-weighted; (p; q)-distortion; Carnot group; MAPPINGS;

D O I：

10.3103/S1066369X24700208

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the locally uniform convergence of homeomorphisms with bounded (1, sigma)-weighted (q,p)-distortion to a limit homeomorphism. Under some additional conditions we prove that the limit homeomorphism is a mapping with bounded (1, sigma)-weighted (q,p)-distortion. Moreover, we obtain the property of lower semicontinuity of distortion characteristics of homeomorphisms.

引用

页码：70 / 75

页数：6

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