New characterizations of Sobolev metric spaces

被引：21

作者：

Di Marino, Simone ^{[1
]}

Squassina, Marco ^{[2
]}

机构：

[1] Scuola Normale Super Pisa, Indam, Piazza Cavalieri 7, I-56126 Pisa, Italy

[2] Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis, Via Musei 41, I-25121 Brescia, Italy

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2019年 / 276卷 / 06期

关键词：

Bourgain-Brezis-Mironescu; Nguyen type limits; Hajlasz-Sobolev spaces; LIPSCHITZ FUNCTIONS; APPROXIMATIONS; CONNECTIONS;

D O I：

10.1016/j.jfa.2018.07.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide new characterizations of Sobolev ad BV spaces in doubling and Poincare metric spaces in the spirit of the Bourgain-Brezis-Mironescu and Nguyen limit formulas holding in domains of R-N. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：1853 / 1874

页数：22

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