6 citations · 6 across the 2 of their papers we have counts for
5 papers
The weak-type Carleson theorem via wave packet estimates
Francesco Di Plinio, Anastasios Fragkos
We prove that the weak- norms, and in fact the sparse -norms, of the Carleson maximal partial Fourier sum operator are as . This is an…
Banach-valued multilinear singular integrals with modulation invariance
Francesco Di Plinio, Kangwei Li, Henri Martikainen +1
We prove that the class of trilinear multiplier forms with singularity over a one dimensional subspace, including the bilinear Hilbert transform, admit bounded -extension to t…
Directional square functions and a sharp Meyer lemma
Francesco Di Plinio, Ioannis Parissis
Quantitative formulations of Fefferman's counterexample for the ball multiplier are naturally linked to square function and vector-valued estimates for directional singular integra…
Endpoint sparse bounds for Walsh-Fourier multipliers of Marcinkiewicz type
Wei Chen, Amalia Culiuc, Francesco Di Plinio +2
We prove endpoint-type sparse bounds for Walsh-Fourier Marcinkiewicz multipliers and Littlewood-Paley square functions. These results are motivated by conjectures of Lerner in the…
A sparse estimate for multisublinear forms involving vector-valued maximal functions
Amalia Culiuc, Francesco Di Plinio, Yumeng Ou
We prove a sparse bound for the -sublinear form associated to vector-valued maximal functions of Fefferman-Stein type. As a consequence, we show that the sparse bounds of multis…