dc.creator | Hytönen, Tuomas | es |
dc.creator | Pérez Moreno, Carlos | es |
dc.date.accessioned | 2016-10-10T06:45:39Z | |
dc.date.available | 2016-10-10T06:45:39Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Hytönen, T. y Pérez Moreno, C. (2013). Sharp weighted bounds involving A∞. Analysis and PDE, 6 (4), 777-818. | |
dc.identifier.issn | 2157-5045 | es |
dc.identifier.issn | 1948-206X | es |
dc.identifier.uri | http://hdl.handle.net/11441/47242 | |
dc.description.abstract | We improve on several weighted inequalities of recent interest by replacing a part of the Ap bounds by weaker A∞ estimates involving Wilson’s A∞ constant
[w] 0 A∞ := sup Q 1 / w(Q) Z Q M(wχQ).
In particular, we show the following improvement of the first author’s A2 theorem for Calderón-Zygmund operators T : kT kB(L2(w)) ≤ cT [w]
1/2 A2 [w] 0 A∞ + [w −1] 0 A∞ 1/2.
Corresponding Ap type results are obtained from a new extrapolation theorem with appropriate mixed Ap A∞ bounds. This uses new two-weight estimates for the maximal function, which improve on Buckley’s classical bound.We also derive mixed A1-A∞ type results of Lerner, Ombrosi and Pérez (2009) of the form
kT kB(L
p(w)) ≤ cpp0
[w]
1/p
A1
([w]
0
A∞
)
1/p
0
, 1 < p < ∞,
kT f kL
1,∞(w) ≤ c[w]A1
log(e + [w]
0
A∞
)k f kL
1(w).
An estimate dual to the last one is also found, as well as new bounds for commutators of singular integrals | es |
dc.description.sponsorship | Academy of Finland | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Mathematical Sciences Publishers | es |
dc.relation.ispartof | Analysis and PDE, 6 (4), 777-818. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Weighted norm inequalities | es |
dc.subject | Ap weights | es |
dc.subject | Sharp estimates | es |
dc.subject | Maximal function | es |
dc.subject | Calderón-Zygmund operators | es |
dc.title | Sharp weighted bounds involving A∞ | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
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 | 130166 | es |
dc.relation.projectID | 133264 | es |
dc.relation.projectID | 218148 | es |
dc.relation.projectID | MTM2009-08934 | es |
dc.relation.projectID | FQM-4745 | es |
dc.relation.publisherversion | http://msp.org/apde/2013/6-4/apde-v6-n4-p02-p.pdf | es |
dc.identifier.doi | 10.2140/apde.2013.6.777 | es |
dc.contributor.group | Universidad de Sevilla. FQM-354 Análisis Real | es |
idus.format.extent | 42 p. | es |
dc.journaltitle | Analysis and PDE | es |
dc.publication.volumen | 6 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 777 | es |
dc.publication.endPage | 818 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/47242 | |