Fuglede's theorem in generalized Orlicz-Sobolev spaces
Juusti Jonne
Fuglede's theorem in generalized Orlicz-Sobolev spaces
Juusti Jonne
Springer
Julkaisun pysyvä osoite on:
https://urn.fi/URN:NBN:fi-fe2022020818082
https://urn.fi/URN:NBN:fi-fe2022020818082
Tiivistelmä
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.
Kokoelmat
- Rinnakkaistallenteet [19207]