3 papers
math.FA2022
Riesz spaces with generalized Orlicz growth
Peter Hästö, Jonne Juusti, Humberto Rafeiro
We consider a Riesz -variation for functions defined on the real line when is a generalized -function. We show that it generates a quas…
math.FA2021
Fuglede's theorem in generalized Orlicz--Sobolev spaces
Jonne Juusti
In this paper, we show that Orlicz--Sobolev spaces can be characterized with the ACL- and ACC-characterizations. ACL stands for absolutely continuous on lines and ACC…
math.AP2019
The Kellogg property under generalized growth conditions
Petteri Harjulehto, Jonne Juusti
We study minimizers of the Dirichlet phi-energy integral with generalized Orlicz growth. We prove the Kellogg property, the set of irregular points has zero capacity, and give char…