8 citations · 11 across the 3 of their papers we have counts for
4 papers
A fractional Muckenhoupt-Wheeden theorem and its consequences
David Cruz-Uribe, Kabe Moen
In the 1970s Muckenhoupt and Wheeden made several conjectures relating two weight norm inequalities for the Hardy-Littlewood maximal operator to such inequalities for singular inte…
Variable Hardy Spaces
David Cruz-Uribe, SFO, Li-An Daniel Wang
We develop the theory of variable exponent Hardy spaces. Analogous to the classical theory, we give equivalent definitions in terms of maximal operators. We also show that distribu…
One and two weight norm inequalities for Riesz potentials
David Cruz-Uribe, Kabe Moen
We consider weighted norm inequalities for the Riesz potentials , also referred to as fractional integral operators. First we prove mixed - type estimates in th…
The solution of the Kato problem for degenerate elliptic operators with Gaussian bounds
D. Cruz-Uribe, C. Rios
We prove the Kato conjecture for degenerate elliptic operators in R^n. More precisely, we consider the divergence form operator L_w = -1/w div (wA) grad, where w is a Muckenhoupt A…