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 2023Show all

3 papers · 1 filter

math.AP2023

Quantitative Sobolev regularity of quasiregular maps

Francesco Di Plinio, A. Walton Green, Brett D. Wick

We quantify the Sobolev space norm of the Beltrami resolvent $(I - μ B)^{- 1}$ , where $B$ is the Beurling-Ahlfors transform, in terms of the corresponding Sobolev s…

math.CA2023

Pointwise localization and sharp weighted bounds for Rubio de Francia square functions

Francesco Di Plinio, Mikel Flórez-Amatriain, Ioannis Parissis +1

Let $H_{ω} f$ be the Fourier restriction of $f \in L^{2} (R)$ to an interval $ω \subset R$ . If $Ω$ is an arbitrary collection of pairwise disjoint intervals, the square f…

math.CA2023

Wavelet resolution and Sobolev regularity of Calderón-Zygmund operators on domains

Francesco Di Plinio, A. Walton Green, Brett D. Wick

Given a uniform domain $Ω \subset R^{d}$ , we resolve each element of a suitably defined class of Calderòn-Zygmund (CZ) singular integrals on $Ω$ as the linear combination of…