170 citations · 272 across the 45 of their papers we have counts for
53 papers
On off-diagonal operators in matrix-weighted spaces
David Cruz-Uribe, Aapo Laukkarinen, Kabe Moen
In this paper we prove matrix-weighted inequalities for fractional operators and their commutators. We do so by developing the theory of convex body domination for such operators.…
The Stein-Weiss inequality in variable exponent Morrey spaces
David Cruz-Uribe, Arash Ghorbanalizadeh, Durvudkhan Suragan
In this paper we prove the Stein-Weiss inequality in variable exponent Morrey spaces over a bounded domain. Our work extends earlier results in the variable exponent Lebesgue and M…
Bounded solutions of degenerate elliptic equations with an Orlicz-gain Sobolev inequality
David Cruz-Uribe, Sullivan F. MacDonald, Scott Rodney
We consider the boundedness and exponential integrability of solutions to the Dirichlet problem for the degenerate elliptic equation \[ -v^{-1}\mathrm{Div}(|\sqrt{Q}\nabla u|^{p-2}…
The reverse Hölder inequality for weights with applications to matrix weights
David Cruz-Uribe, Michael Penrod
In this paper we prove a reverse Hölder inequality for the variable exponent Muckenhoupt weights , introduced by the first author, Fiorenza, and Neugeabauer…
Bounded weak solutions with Orlicz space data: an overview
David Cruz-Uribe
It is well known that non-negative solutions to the Dirichlet problem in a bounded domain , where , , satisfy $\|u\|_{L^\infty(Ω)} \leq C\|f\|_…
Necessary conditions for the boundedness of fractional operators on variable Lebesgue spaces
David Cruz-Uribe, Troy Roberts
In this paper we prove necessary conditions for the boundedness of fractional operators on the variable Lebesgue spaces. More precisely, we find necessary conditions on an exponent…