5 papers
On Local Continuous Solvability of Equations Associated to Elliptic and Canceling Linear Differential Operators
Laurent Moonens, Tiago Picon
Consider an elliptic and canceling linear differential operator of order with smooth complex coefficients in $Ω\subset \mathb…
Solvability In Weighted Lebesgue Spaces of the Divergence Equation with Measure Data
Laurent Moonens, Emmanuel Russ
In the following paper, one studies, given a bounded, connected open set R n , > 0, a positive Radon measure 0 in and a (signed) Radon measure on $Ω…
Differentiating along rectangles with fixed shapes in a set of directions
Emma D'Aniello, Laurent Moonens
In the present note, we examine the behavior of some homo\-thecy-invariant differentiation basis of rectangles in the plane satisfying the following requirement: for a given rectan…
Differentiating Orlicz spaces with rare bases of rectangles
Emma D 'Aniello, Laurent Moonens, Joseph Rosenblatt
In the current paper, we study how the speed of convergence of a sequence of angles decreasing to zero influences the possibility of constructing a rare differentiation basis of re…
Averaging on -dimensional rectangles
Emma D'Aniello, Laurent Moonens
In this work we investigate families of translation invariant differentiation bases of rectangles in , for which is the largest Orlicz space that d…