Francesco Di Plinio

activity

20102026

most citedA sparse domination principle for rough singular integrals

112 citations · 378 across the 30 of their papers we have counts for

collaborators

Showing 2017 · math.CAShow all

3 papers · 2 filters

math.CA2017★ 9 cited

On the maximal directional Hilbert transform in three dimensions

Francesco Di Plinio, Ioannis Parissis

We establish the sharp growth rate, in terms of cardinality, of the $L^{p}$ norms of the maximal Hilbert transform $H_{Ω}$ along finite subsets of a finite order lacunary set of direct…

math.CA2017★ 22 cited

Square functions for bi-Lipschitz maps and directional operators

Francesco Di Plinio, Shaoming Guo, Christoph Thiele +1

First we prove a Littlewood-Paley diagonalization result for bi-Lipschitz perturbations of the identity map on the real line. This result entails a number of corollaries for the Hi…

math.CA2017★ 9 cited

A sharp estimate for the Hilbert transform along finite order lacunary sets of directions

Francesco Di Plinio, Ioannis Parissis

Let $D$ be a nonnegative integer and $Θ \subset S^{1}$ be a lacunary set of directions of order $D$ . We show that the $L^{p}$ norms, $1 < p < \infty$ , of the maximal directional Hi…