Sobolev, BV and perimeter extensions in metric measure spaces
Year of publication
2024
Authors
Caputo, Emanuele; Koivu, Jesse; Rajala, Tapio
Abstract
We study extensions of sets and functions in general metric measure spaces. We show that an open set has the strong BV-extension property if and only if it has the strong extension property for sets of finite perimeter. We also prove several implications between the strong BV-extension property and extendability of two different non-equivalent versions of Sobolev W 1,1 -spaces and show via examples that the remaining implications fail.
Show moreOrganizations and authors
Publication type
Publication format
Article
Parent publication type
Journal
Article type
Original article
Audience
ScientificPeer-reviewed
Peer-ReviewedMINEDU's publication type classification code
A1 Journal article (refereed), original researchPublication channel information
Journal/Series
Publisher
Volume
49
Issue
1
Pages
135-165
ISSN
Publication forum
Publication forum level
2
Open access
Open access in the publisher’s service
Yes
Open access of publication channel
Fully open publication channel
Self-archived
Yes
Other information
Fields of science
Mathematics
Keywords
[object Object],[object Object]
Publication country
Finland
Internationality of the publisher
Domestic
Language
English
International co-publication
No
Co-publication with a company
No
DOI
10.54330/afm.143899
The publication is included in the Ministry of Education and Culture’s Publication data collection
Yes