New characterizations of Sobolev metric spaces

被引：14
|
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.
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页码：1853 / 1874
页数：22
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