170 citations · 272 across the 45 of their papers we have counts for
4 papers · 1 filter
A note on the limit of Orlicz norms
David Cruz-Uribe, Scott Rodney
We generalize the well-known inequality that the limit of the norm of a function as is the norm to the scale of Orlicz spaces.
Bounded weak solutions to elliptic PDE with data in Orlicz spaces
David Cruz-Uribe, Scott Rodney
A classical regularity result is that non-negative solutions to the Dirichlet problem in a bounded domain , where , , satisfy $\|u\|_{L^\infty(…
Weighted norm inequalities for the maximal operator on $\Lpp$ over spaces of homogeneous type
David Cruz-Uribe, Jeremy Cummings
Given a space of homogeneous type , we prove strong-type weighted norm inequalities for the Hardy-Littlewood maximal operator over the variable exponent Lebesgue spaces $L…
Neccessary conditions for two weight inequalities for singular integral operators
David Cruz-Uribe, John-Oliver MacLellan
We prove necessary conditions on pairs of measures for a singular integral operator to satisfy weak inequalities, , provided the kernel of s…