Show simple item record

dc.contributor.authorGarg, R.
dc.contributor.authorRoncal, L.
dc.contributor.authorShrivastava, S.
dc.date.accessioned2019-12-08T12:14:33Z
dc.date.available2019-12-08T12:14:33Z
dc.date.issued2019-12
dc.identifier.issn1559-002X
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1049
dc.description.abstractWe 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.sponsorship2017 Leonardo grant for Researchers and Cultural Creators, BBVA Foundationen_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectRubio de Francia's Littlewood--Paley square functionen_US
dc.subjectsparse dominationen_US
dc.subjectweighted norm inequalitiesen_US
dc.titleQuantitative weighted estimates for Rubio de Francia's Littlewood--Paley square functionen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.relation.publisherversionhttps://link.springer.com/content/pdf/10.1007%2Fs12220-019-00297-x.pdfen_US
dc.relation.projectIDES/1PE/SEV-2017-0718en_US
dc.relation.projectIDES/1PE/MTM2017-82160-C2-1-Pen_US
dc.relation.projectIDEUS/BERC/BERC.2018-2021en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleJournal of Geometric Analysisen_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record

Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España