E. D’Aniello

collaborators

3 papers

math.CA2019

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…

math.CA2019

On some generic small Cantor spaces

Emma D'Aniello, Martina Maiuriello

Let $X = [0, 1]^{n}$ , $n \geq 1$ . We show that the typical (in the sense of Baire category) compact subset of $X$ is not only a zero dimensional Cantor space but it satisfies the pro…

math.CA2016

Averaging on $n$ -dimensional rectangles

Emma D'Aniello, Laurent Moonens

In this work we investigate families of translation invariant differentiation bases $B$ of rectangles in $R^{n}$ , for which $L lo g^{n - 1} L (R^{n})$ is the largest Orlicz space that $B$ d…

Differentiating along rectangles with fixed shapes in a set of directions

On some generic small Cantor spaces

Averaging on n-dimensional rectangles

Averaging on $n$ -dimensional rectangles