11 citations · 19 across the 5 of their papers we have counts for
7 papers
Singular multipliers on multiscale Zygmund sets
Odysseas Bakas, Valentina Ciccone, Francesco Di Plinio +3
Given an Orlicz space on , with submultiplicative Young function , we fully characterize the closed null sets of the rea…
Multilinear paraproducts on Sobolev spaces
Francesco Di Plinio, A. Walton Green, Brett D. Wick
Paraproducts are a special subclass of the multilinear Calderón-Zygmund operators, and their Lebesgue space estimates in the full multilinear range are characterized by the $\mathr…
Sparse bounds for maximal rough singular integrals via the Fourier transform
Francesco Di Plinio, Tuomas P. Hytönen, Kangwei Li
We prove that the class of convolution-type kernels satisfying suitable decay conditions of the Fourier transform, appearing in the works of Christ, Christ-Rubio de Francia, and Du…
Uniform sparse domination of singular integrals via dyadic shifts
Amalia Culiuc, Francesco Di Plinio, Yumeng Ou
Using the Calderón-Zygmund decomposition, we give a novel and simple proof that bounded dyadic shifts admit a domination by positive sparse forms with linear growth in the co…
Endpoint bounds for the bilinear Hilbert transform
Francesco Di Plinio, Christoph Thiele
We study the behavior of the bilinear Hilbert transform at the boundary of the known boundedness region . A sample of our results is the estimate $| \lan…
Endpoint bounds for the quartile operator
Ciprian Demeter, Francesco Di Plinio
It is a result by Lacey and Thiele that the bilinear Hilbert transform maps L^{p_1}(R) \times L^{p_2}(R) into L^{p_3}(R) whenever (p_1,p_2,p_3) is a Holder tuple with p_1,p_2 > 1 a…