170 citations · 1.4k across the 61 of their papers we have counts for
4 papers · 1 filter
The regularity problem for degenerate elliptic operators in weighted spaces
Pascal Auscher, Li Chen, José María Martell +1
We study the solvability of the regularity problem for degenerate elliptic operators in the block case for data in weighted spaces. More precisely, let be a degenerate ellipt…
Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition
Murat Akman, Steve Hofmann, José María Martell +1
Let , , be a 1-sided non-tangentially accessible domain (aka uniform domain), that is, satisfies the interior Corkscrew and Harnack chain cond…
Extrapolation on function and modular spaces, and applications
Mingming Cao, Juan José Marín, José María Martell
We generalize the extrapolation theory of Rubio de Francia to the context of Banach function spaces and modular spaces. Our results are formulated in terms of some natural weighted…
On the condition for elliptic operators in 1-sided NTA domains satisfying the capacity density condition
Mingming Cao, Óscar Domínguez, José María Martell +1
Let , , be a 1-sided non-tangentially accessible domain (i.e., quantitatively open and path-connected) satisfiying the capacity density condition…