SBV functions in Carnot–Carathéodory spaces

IF 1.3 2区数学 Q1 MATHEMATICS

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2025-09-17 DOI:10.1016/j.na.2025.113944

Marco Di Marco , Sebastiano Don , Davide Vittone

引用次数: 0

Abstract

We introduce the space SBV

_{X}

of special functions with bounded

X

-variation in Carnot–Carathéodory spaces and study its main properties. Our main outcome is an approximation result, with respect to the BV

_{X}

topology, for SBV

_{X}

functions.

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SBV在carnot - carath空间中的作用

引入了carnot - carathacimodory空间中具有有界x变分的特殊函数的空间SBVX，并研究了其主要性质。我们的主要结果是关于SBVX函数的BVX拓扑的近似结果。

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

Nonlinear Analysis-Theory Methods & Applications 数学-数学

CiteScore

3.30

自引率

0.00%

发文量

265

审稿时长

60 days

期刊介绍： Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.