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

Garg R.; Roncal L.; Shrivastava S. (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. ...
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Sparse bounds for maximal rough singular integrals via the Fourier transform 

Di Plinio F.; Hytönen T.; Li K. (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, ...

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AuthorDi Plinio F. (1)Garg R. (1)Hytönen T. (1)Li K. (1)Roncal L. (1)Shrivastava S. (1)Subjectsparse domination (2)
weighted norm inequalities (2)
rough singular integrals (1)Rubio de Francia's Littlewood--Paley square function (1)... View MoreDate Issued
2019 (2)

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