Now showing items 1-3 of 3

• #### Quantitative weighted estimates for Rubio de Francia's Littlewood--Paley square function ﻿

(Journal of Geometric Analysis, 2019-12)
We consider the Rubio de Francia's Littlewood--Paley square function associated with an arbitrary family of intervals in $\mathbb{R}$ with finite overlapping. Quantitative weighted estimates are obtained for this operator. ...
• #### Sparse bounds for maximal rough singular integrals via the Fourier transform ﻿

(Annales de l'institut Fourier, 2019-03-12)
We prove a quantified sparse bound for the maximal truncations of convolution-type singular integrals with suitable Fourier decay of the kernel. Our result extends the sparse domination principle by Conde-Alonso, Culiuc, ...
• #### Vector-valued operators, optimal weighted estimates and the $C_p$ condition ﻿

(Science China Mathematics, 2018-09)
In this paper some new results concerning the $C_p$ classes introduced by Muckenhoupt and later extended by Sawyer, are provided. In particular we extend the result to the full range expected $p>0$, to the weak norm, to ...