dc.contributor.author Garg, R. dc.contributor.author Roncal, L. dc.contributor.author Shrivastava, S. dc.date.accessioned 2019-12-08T12:14:33Z dc.date.available 2019-12-08T12:14:33Z dc.date.issued 2019-12 dc.identifier.issn 1559-002X dc.identifier.uri http://hdl.handle.net/20.500.11824/1049 dc.description.abstract We consider the Rubio de Francia's Littlewood--Paley square function associated with an arbitrary family of intervals in $\mathbb{R}$ with finite overlapping. en_US Quantitative weighted estimates are obtained for this operator. The linear dependence on the characteristic of the weight $[w]_{A_{p/2}}$ turns out to be sharp for $3\le p<\infty$, whereas the sharpness in the range \$2
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