Riesz spaces with generalized Orlicz growth

Peter Hästö, Jonne Juusti, Humberto Rafeiro

We consider a Riesz $\varphi$-variation for functions $f$ defined on the real line when $\phi :\Omega \times [0,\infty )\to [0,\infty )$ is a generalized $\Phi$-function. We show that it generates a quas…