Lower Semicontinuity of Distortion Coefficients for Homeomorphisms of Bounded (1, σ)-Weighted (q, p)-Distortion on Carnot Groups
IF 0.5
Q3 MATHEMATICS
引用次数: 0
Abstract
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.
卡诺群上有界（1，σ）-加权（q，p）-失真同构的失真系数的下半连续性
摘要 在本文中，我们研究了有界（(1,\sigma )\）-加权（(q,p)\）-失真到极限同构的同构的局部均匀收敛性。在一些附加条件下，我们证明了极限同构是一个有界的（(1,\sigma)）-加权的（(q,p)）-失真映射。此外，我们还得到了同态变形失真特征的下半连续性。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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来源期刊
Russian Mathematics
MATHEMATICS-
CiteScore
0.90
自引率
25.00%
发文量
0
期刊介绍：
Russian Mathematics is a peer reviewed periodical that encompasses the most significant research in both pure and applied mathematics.
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