H. Rafeiro

activity

20082022

most citedHardy type inequality in variable Lebesgue spaces

17 citations · 31 across the 3 of their papers we have counts for

collaborators

3 papers

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.FA2009★ 14 cited

Kolmogorov compactness criterion in variable exponent Lebesgue spaces

Humberto Rafeiro

The well-known Kolmogorov compactness criterion is extended to the case of variable exponent Lebesgue spaces $L^{p (\cdot)} (Ω)$ , where $Ω$ is a bounded open set in $R^{n}$ and…

math.FA2008★ 17 cited

Hardy type inequality in variable Lebesgue spaces

Humberto Rafeiro, Stefan Samko

We prove that in variable exponent spaces $L^{p (\cdot)} (Ω)$ , where $p (\cdot)$ satisfies the log-condition and $Ω$ is a bounded domain in $R^{n}$ with the property that $\math…