Sobolev Extensions Via Reflections
Abstract
We show that certain extension results obtained by Maz’ya and Poborchi for domains with an outward peak can be realized via composition operators generated by reflections. We also study the case of the complementary domains.
Main Authors
Format
Articles
Research article
Published
2022
Series
Subjects
Publication in research information system
Publisher
Springer Science and Business Media LLC
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202302021610Use this for linking
Review status
Peer reviewed
ISSN
1072-3374
DOI
https://doi.org/10.1007/s10958-022-06204-0
Language
English
Published in
Journal of Mathematical Sciences
Citation
- Koskela, P., & Zhu, Z. (2022). Sobolev Extensions Via Reflections. Journal of Mathematical Sciences, 268(3), 376-401. https://doi.org/10.1007/s10958-022-06204-0
License
Funder(s)
Research Council of Finland
Funding program(s)
Academy Project, AoF
Akatemiahanke, SA
Additional information about funding
The research of both authors has been supported by the Academy of Finland Grant number 323960.
Copyright© 2022 Springer Nature Switzerland AG