关于加权欧氏空间上BV和1-Sobolev函数的一个注记

IF 0.6 4区数学 Q3 MATHEMATICS

Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-10-06 DOI:10.4171/rlm/988

M. Gelli, Danka Luvci'c

引用次数: 3

摘要

在具有任意Radon测度的欧氏空间中，我们证明了文献中存在的几个有界变差函数概念之间的等价性。我们还研究了1-Sobolev函数的各种定义之间的关系。

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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A note on BV and 1-Sobolev functions on the weighted Euclidean space

In the setting of the Euclidean space equipped with an arbitrary Radon measure, we prove the equivalence between several notions of function of bounded variation present in the literature. We also study the relation between various definitions of 1-Sobolev function.

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来源期刊

Rendiconti Lincei-Matematica e Applicazioni MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal is dedicated to the publication of high-quality peer-reviewed surveys, research papers and preliminary announcements of important results from all fields of mathematics and its applications.