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

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


Abstract
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.


Last updated on 2025-13-02 at 09:36