Jonne Juusti

activity

20192022

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math.FA2022

Riesz spaces with generalized Orlicz growth

Peter Hästö, Jonne Juusti, Humberto Rafeiro

We consider a Riesz $ϕ$ -variation for functions $f$ defined on the real line when $φ : Ω \times [0, \infty) \to [0, \infty)$ is a generalized $Φ$ -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 $W^{1, ϕ} (Ω)$ can be characterized with the ACL- and ACC-characterizations. ACL stands for absolutely continuous on lines and ACC…