170 citations · 1.4k across the 61 of their papers we have counts for
3 papers · 2 filters
Elliptic operators in rough sets, and the Dirichlet problem with boundary data in Hölder spaces
Mingming Cao, Pablo Hidalgo-Palencia, José María Martell +2
In this paper we study the Dirichlet problem for real-valued second order divergence form elliptic operators with boundary data in Hölder spaces. Our context is that of open sets $…
A note on Rubio de Francia's extrapolation in tent spaces and applications
José María Martell, Pierre Portal
The Rubio de Francia extrapolation theorem is a very powerful result which states that in order to show that certain operators satisfy weighted norm inequalities with Muckenhoupt w…
Solvability of the Dirichlet problem for the heat equation is equivalent to parabolic uniform rectifiability in the case of a parabolic Lipschitz graph
Simon Bortz, Steven Hofmann, José María Martell +1
We prove that if a parabolic Lipschitz (i.e., Lip(1,1/2)) graph domain has the property that its caloric measure is a parabolic weight with respect to surface measure (w…