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.
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 $2<p<3$ remains as an open question. Weighted weak-type estimates in the endpoint $p=2$ are also provided. The results arise as a consequence of a sparse domination shown for these operators, obtained by suitably adapting the ideas coming from Benea [2015] and Culiuc et al. [2018]. | en_US |
dc.description.sponsorship | 2017 Leonardo grant for Researchers and Cultural Creators, BBVA Foundation | en_US |
dc.format | application/pdf | en_US |
dc.language.iso | eng | en_US |
dc.rights | Reconocimiento-NoComercial-CompartirIgual 3.0 España | en_US |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/es/ | en_US |
dc.subject | Rubio de Francia's Littlewood--Paley square function | en_US |
dc.subject | sparse domination | en_US |
dc.subject | weighted norm inequalities | en_US |
dc.title | Quantitative weighted estimates for Rubio de Francia's Littlewood--Paley square function | en_US |
dc.type | info:eu-repo/semantics/article | en_US |
dc.relation.publisherversion | https://link.springer.com/content/pdf/10.1007%2Fs12220-019-00297-x.pdf | en_US |
dc.relation.projectID | ES/1PE/SEV-2017-0718 | en_US |
dc.relation.projectID | ES/1PE/MTM2017-82160-C2-1-P | en_US |
dc.relation.projectID | EUS/BERC/BERC.2018-2021 | en_US |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en_US |
dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | en_US |
dc.journal.title | Journal of Geometric Analysis | en_US |