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 2013 · math.CAShow all

3 papers · 2 filters

math.CA2013★ 38 cited

On weighted norm inequalities for the Carleson and Walsh-Carleson operators

Francesco Di Plinio, Andrei K. Lerner

We prove $L^{p} (w)$ bounds for the Carleson operator $C$ , its lacunary version $C_{l a c}$ , and its analogue for the Walsh series $\W$ in terms of the $A_{q}$ constan…

math.CA2013★ 8 cited

Weak-L^p bounds for the Carleson and Walsh-Carleson operators

Francesco Di Plinio

We prove a weak- $L^{p}$ bound for the Walsh-Carleson operator for $p$ near 1, improving on a theorem of Sjolin. We relate our result to the conjectures that the Walsh-Fourier and Fo…

math.CA2013★ 12 cited

Lacunary Fourier and Walsh-Fourier series near L^1

Francesco Di Plinio

We prove that, for functions in the Orlicz class LloglogLloglogloglogL, lacunary subsequences of the Fourier and the Walsh-Fourier series converge almost everywhere. Our integrabil…