Jonne Juusti

activity

20192022

collaborators

5 papers

math.AP2022

Bloch estimates in non-doubling generalized Orlicz spaces

Petteri Harjulehto, Peter Hästö, Jonne Juusti

We study minimizers of non-autonomous functionals \begin{align*} \inf_u \int_Ωφ(x,|\nabla u|) \, dx \end{align*} when $φ$ has generalized Orlicz growth. We consider the case where…

math.FA2022

Extension in generalized Orlicz--Sobolev spaces

Jonne Juusti

We study the existence of an extension operator $Λ : W^{1, φ} (Ω) \to W^{1, ψ} (R^{n})$ . We assume that $φ \in Φ_{w} (Ω)$ has generalized Orlicz growth, $ψ\in Φ_\mathrm{…

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…

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…