dc.creator | Pérez Moreno, Carlos | es |
dc.creator | Rivera Ríos, Israel Pablo | es |
dc.date.accessioned | 2016-06-29T07:28:33Z | |
dc.date.available | 2016-06-29T07:28:33Z | |
dc.date.issued | 2016 | |
dc.identifier.citation | Pérez Moreno, C. y Rivera Ríos, I.P. (2016). Borderline weighted estimates for commutators of singular integrals. Israel Journal of Mathematics | |
dc.identifier.issn | 0021-2172 | es |
dc.identifier.issn | 1565-8511 | es |
dc.identifier.uri | http://hdl.handle.net/11441/42872 | |
dc.description.abstract | In this paper we establish the following estimate
w({x∈Rn:|[b,T]f(x)|>λ})≤cTε2∫RnΦ(∥b∥BMO|f(x)|λ)ML(logL)1+εw(x)dx
where w≥0,0<ε<1 and Φ(t)=t(t+log+(t)). This inequality relies upon the following sharp Lp estimate
∥[b,T]f∥Lp(w)≤cT(p′)2p2(p−1δ)1p′∥b∥BMO∥f∥Lp(ML(logL)2p−1+δw)
where 1<p<∞,w≥0 and 0<δ<1. As a consequence we recover the following estimate
w({x∈Rn:|[b,T]f(x)|>λ})≤cT[w]A∞(1+log+[w]A∞)2∫RnΦ(∥b∥BMO|f(x)|λ)Mw(x)dx
We also obtain the analogue estimates for symbol-multilinear commutators for a wider class of symbols. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Israel Journal of Mathematics | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | commutators | es |
dc.subject | Rubio de Francia extrapolation | es |
dc.subject | Ap weights | es |
dc.subject | Hardy-Littlewood maximal function | es |
dc.title | Borderline weighted estimates for commutators of singular integrals | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO/MTM2014-53850-P | es |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO/MTM2012-30748 | es |
dc.contributor.group | Universidad de Sevilla. FQM-354 Análisis Real | es |
idus.format.extent | 31 p. | es |
dc.journaltitle | Israel Journal of Mathematics | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42872 | |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | |