1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.CA2023
Sobolev meets Riesz: a characterization of weighted Sobolev spaces via weighted Riesz bounded variation space
David Cruz-Uribe, Oscar Guzman, Humberro Rafeiro
We introduce weighted Riesz bounded variation spaces defined on an open subset of the -dimensional Euclidean space and use them to characterize weighted Sobolev spaces when the…
math.CA2018★ 1 cited
Weighted norm inequalities for the bilinear maximal operator on variable Lebesgue spaces
David Cruz-Uribe, Oscar Mauricio Guzman
We extend the theory of weighted norm inequalities on variable Lebesgue spaces to the case of bilinear operators. We introduce a bilinear version of the variable $\A_\pp$ condition…
math.CA2017
Embeddings between grand, small and variable Lebesgue spaces
David Cruz-Uribe, Alberto Fiorenza, Oscar Guzman
We give conditions on the exponent function that imply the existence of embeddings between grand, small and variable Lebesgue spaces. We construct examples to show that…