112 citations · 378 across the 30 of their papers we have counts for
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On weighted norm inequalities for the Carleson and Walsh-Carleson operators
Francesco Di Plinio, Andrei K. Lerner
We prove bounds for the Carleson operator , its lacunary version , and its analogue for the Walsh series $\W$ in terms of the constan…
Weak-L^p bounds for the Carleson and Walsh-Carleson operators
Francesco Di Plinio
We prove a weak- bound for the Walsh-Carleson operator for near 1, improving on a theorem of Sjolin. We relate our result to the conjectures that the Walsh-Fourier and Fo…
Grisvard's shift theorem near L^infinity and Yudovich theory on polygonal domains
Francesco Di Plinio, Roger Temam
Let Omega be a bounded, simply connected domain with boundary of class C^{1,1} except at finitely many points S_j where the boundary is locally a corner of aperture alpha_j<=pi/2.…
The 3-dimensional oscillon equation
Francesco Di Plinio, Gregory S. Duane, Roger Temam
On a bounded three-dimensional smooth domain, we consider the generalized oscillon equation with Dirichlet boundary conditions, with time-dependent damping and time-dependent squar…
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…