A1 Refereed original research article in a scientific journal
Fuglede's theorem in generalized Orlicz-Sobolev spaces
Authors: Juusti Jonne
Publisher: Springer
Publication year: 2023
Journal: Collectanea Mathematica
Journal name in source: COLLECTANEA MATHEMATICA
Journal acronym: COLLECT MATH
Volume: 74
First page : 299
Last page: 312
Number of pages: 14
ISSN: 0010-0757
eISSN: 2038-4815
DOI: https://doi.org/10.1007/s13348-021-00347-0
Publication's open availability at the time of reporting: Open Access
Publication channel's open availability : Partially Open Access publication channel
Web address : https://doi.org/10.1007/s13348-021-00347-0
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/68961132
Self-archived copy's licence: CC BY
Self-archived copy's version: Publisher`s PDF
In this paper, we show that Orlicz-Sobolev spaces W-1,W-phi(Omega) can be characterized with the ACL- and ACC-characterizations. ACL stands for absolutely continuous on lines and ACC for absolutely continuous on curves. Our results hold under the assumptions that C-1(Omega) functions are dense in W-1,W-phi(Omega), and phi(x, beta) >= 1 for some beta > 0 and almost every x epsilon Omega. The results are new even in the special cases of Orlicz and double phase growth.
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Funding information in the publication:
Open Access funding provided by University of Turku (UTU) including Turku University Central Hospital.
