41 citations · 72 across the 10 of their papers we have counts for
11 papers
On linear systems of moment differential equations with singularities of the first kind
Alberto Lastra, Cruz Prisuelos-Arribas, Victor Soto-Larrosa
The solution to systems of moment differential equations of the form are provided, for a matrix with general good spectrum. Existence and convergence of…
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 $…
Solutions of linear systems of moment differential equations via generalized matrix exponentials
Alberto Lastra, Cruz Prisuelos-Arribas
A generalized exponential matrix based on the construction of kernel operators for generalized summability is defined and analyzing its main properties, generalizing the classical…
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…
The regularity problem for uniformly elliptic operators in weighted spaces
Li Chen, José María Martell, Cruz Prisuelos-Arribas
This paper studies the regularity problem for block uniformly elliptic operators in divergence form with complex bounded measurable coefficients. We consider the case where the bou…
Vertical square functions and other operators associated with an elliptic operator
Cruz Prisuelos-Arribas
We study the vertical and conical square functions defined via elliptic operators in divergence form. In general, vertical and conical square functions are equivalent operators jus…
Weighted Hardy spaces associated with elliptic operators. Part II: Characterizations of
José María Martell, Cruz Prisuelos-Arribas
Given a Muckenhoupt weight and a second order divergence form elliptic operator , we consider different versions of the weighted Hardy space defined by conical sq…
Weighted Hardy spaces associated with elliptic operators. Part III: Characterizations of and the weighted Hardy space associated with the Riesz transform
Cruz Prisuelos-Arribas
We consider Muckenhoupt weights , and define weighted Hardy spaces , where denotes a conical square function or a non-tangential maximal func…
Conical square functions for degenerate elliptic operators
Li Chen, José María Martell, Cruz Prisuelos-Arribas
The aim of this paper is to study the boundedness of different conical square functions that arise naturally from second order divergence form degenerate elliptic operators. More p…
Tent Space Boundedness Via Extrapolation
Pascal Auscher, Cruz Prisuelos-Arribas
We study the action of operators on tent spaces such as maximal operators, Calder{ó}n-Zygmund operators, Riesz potentials. We also consider singular non-integral operators. We obta…
Weighted Hardy spaces associated with elliptic operators. Part I: Weighted norm inequalities for conical square functions
José María Martell, Cruz Prisuelos-Arribas
This is the first part of a series of three articles. In this paper, we obtain weighted norm inequalities for different conical square functions associated with the Heat and the Po…