20 citations · 34 across the 11 of their papers we have counts for
Showing math.APShow all
3 papers · 1 filter
math.AP2016
Kato-Ponce inequalities on weighted and variable Lebesgue spaces
David Cruz-Uribe, Virginia Naibo
We prove fractional Leibniz rules and related commutator estimates in the settings of weighted and variable Lebesgue spaces. Our main tools are uniform weighted estimates for seque…
math.AP2013★ 20 cited
A remark on an endpoint Kato-Ponce inequality
Loukas Grafakos, Diego Maldonado, Virginia Naibo
This note introduces bilinear estimates intended as a step towards an -endpoint Kato-Ponce inequality. In particular, a bilinear version of the classical Gagliardo-Nirenb…
math.AP2011★ 2 cited
Regularity of solutions to degenerate -Laplacian equations
David Cruz-Uribe, Kabe Moen, Virginia Naibo
We prove regularity results for solutions of the equation \[div(< AXu,X u>^{(p-2)/2} AX u) = 0,\] , where is a family of vector fields satisfying Hörm…