Bourgain-Brezis-Mironescu formula for Ws,p q -spaces in arbitrary domains
Abstract
Under certain restrictions on s, p, q, the Triebel-Lizorkin spaces can be viewed as generalised fractional Sobolev spaces Ws,p q . In this article, we show that the Bourgain-Brezis-Mironescu formula holds for Ws,p q -seminorms in arbitrary domain. This addresses an open question raised by Brazke-Schikorra-Yung (Calc Var Partial Differ Equ 62(2):41–33, (2023).
Main Author
Format
Articles
Research article
Published
2024
Series
Subjects
Publication in research information system
Publisher
Springer
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202401191385Use this for linking
Review status
Peer reviewed
ISSN
0944-2669
DOI
https://doi.org/10.1007/s00526-023-02637-w
Language
English
Published in
Calculus of Variations and Partial Differential Equations
Citation
- Mohanta, K. (2024). Bourgain-Brezis-Mironescu formula for Ws,p q -spaces in arbitrary domains. Calculus of Variations and Partial Differential Equations, 63(2), Article 31. https://doi.org/10.1007/s00526-023-02637-w
License
Funder(s)
Research Council of Finland
Funding program(s)
Akatemiahanke, SA
Academy Project, AoF
Additional information about funding
Open Access funding provided by University of Jyväskylä (JYU). The research is funded by Academy of Finland grant: Geometrinen Analyysi (21000046081).
Copyright© The Author(s) 2024