27 citations · 65 across the 6 of their papers we have counts for
7 papers
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…
Boundedness of Commutators of Singular and Potential Operators in Generalized Grand Morrey Spaces and some applications
Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro
In the setting of homogeneous spaces (X,d,μ), it is shown that the commutator of Calderón- Zygmund type operators as well as commutator of potential operator with BMO function are…
Riesz type potential operators in generalized grand Morrey spaces
Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro
In this paper we introduce generalized grand Morrey spaces in the framework of quasimetric measure spaces, in the spirit of the so-called grand Lebesgue spaces. We prove a kind of…
A note on boundedness of operators in Grand Grand Morrey spaces
Humberto Rafeiro
In this note we introduce grand grand Morrey spaces, in the spirit of the grand Lebesgue spaces. We prove a kind of \textit{reduction lemma} which is applicable to a variety of ope…
Characterization of the variable exponent Bessel potential spaces via the Poisson semigroup
Humberto Rafeiro, Stefan Samko
Under the standard assumptions on the variable exponent (log- and decay conditions), we give a characterization of the variable exponent Bessel potential space $\mathfrak B^…
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 , where is a bounded open set in and…
Hardy type inequality in variable Lebesgue spaces
Humberto Rafeiro, Stefan Samko
We prove that in variable exponent spaces , where satisfies the log-condition and is a bounded domain in with the property that $\math…