4 papers · 1 filter
The weak maximum principle for solutions of degenerate elliptic equations with lower order terms
David Cruz-Uribe, Scott Rodney
We prove a weak maximum principle for subsolutions of a degenerate, linear, second order elliptic operator with lower order terms, building on the existence results recently proved…
Recent results on matrix weighted norm inequalities
David Cruz-Uribe
In this paper we give an overview of recent work on matrix weights, with particular emphasis on convex body sparse domination for singular integrals, Rubio de Francia extrapolation…
Existence and uniqueness of solutions of degenerate elliptic equations with lower order terms
Seyma Cetin, David Cruz-Uribe, Feyza Elif Dal +2
We prove the existence and uniqueness of solutions to a Dirichlet problem \[ \begin{cases} Lu = f + v^{-1}\text{Div}(v{\bf e} h), & x \in Ω; u = 0, & x \in \partial Ω, \end{cases}\…
Off-diagonal matrix extrapolation for Muckenhoupt bases
David Cruz-Uribe, Fatih Şirin
In this paper we extend the theory of Rubio de Francia extrapolation for matrix weights, recently introduced by Bownik and the first author, to off-diagonal extrapolation. We also…