New characterization of Sobolev metric spaces

Marco Squassina

doi:10.1016/j.jfa.2018.07.003

New characterization of Sobolev metric spaces

Marco Squassina

Research output: Contribution to journal › Article

4 Citations (Scopus)

Abstract

We provide new characterizations of Sobolev ad BV spaces in doubling and Poincar´e metric spaces in the spirit of the Bourgain-Brezis-Mironescu and Nguyen limit formulas holding in domains of R^N

Original language	English
Pages (from-to)	1853-1874
Number of pages	22
Journal	Journal of Functional Analysis
Volume	276
DOIs	https://doi.org/10.1016/j.jfa.2018.07.003
Publication status	Published - 2019

Keywords

metric spaces

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10.1016/j.jfa.2018.07.003

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title = "New characterization of Sobolev metric spaces",

abstract = "We provide new characterizations of Sobolev ad BV spaces in doubling and Poincar´e metric spaces in the spirit of the Bourgain-Brezis-Mironescu and Nguyen limit formulas holding in domains of R\textasciicircum{}N",

keywords = "metric spaces, metric spaces",

author = "Marco Squassina",

year = "2019",

doi = "10.1016/j.jfa.2018.07.003",

language = "English",

volume = "276",

pages = "1853--1874",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Academic Press Inc.",

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TY - JOUR

T1 - New characterization of Sobolev metric spaces

AU - Squassina, Marco

PY - 2019

Y1 - 2019

N2 - We provide new characterizations of Sobolev ad BV spaces in doubling and Poincar´e metric spaces in the spirit of the Bourgain-Brezis-Mironescu and Nguyen limit formulas holding in domains of R^N

AB - We provide new characterizations of Sobolev ad BV spaces in doubling and Poincar´e metric spaces in the spirit of the Bourgain-Brezis-Mironescu and Nguyen limit formulas holding in domains of R^N

KW - metric spaces

UR - http://hdl.handle.net/10807/132122

U2 - 10.1016/j.jfa.2018.07.003

DO - 10.1016/j.jfa.2018.07.003

M3 - Article

SN - 0022-1236

VL - 276

SP - 1853

EP - 1874

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

ER -

New characterization of Sobolev metric spaces

Abstract

Keywords

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