dc.creator | Mateu Bennassar, Joan Eugeni | es |
dc.creator | Orobitg Huguet, Joan | es |
dc.creator | Pérez Moreno, Carlos | es |
dc.creator | Verdera Melenchón, Joan | es |
dc.date.accessioned | 2016-09-15T09:52:04Z | |
dc.date.available | 2016-09-15T09:52:04Z | |
dc.date.issued | 2010 | |
dc.identifier.citation | Mateu Bennassar, J.E., Orobitg Huguet, J., Pérez Moreno, C. y Verdera Melenchón, J. (2010). New estimates for the maximal singular integral. International Mathematics Research Notices, 2010 (19), 3658-3722. | |
dc.identifier.issn | 1073-7928 | es |
dc.identifier.issn | 1687-0247 | es |
dc.identifier.uri | http://hdl.handle.net/11441/45015 | |
dc.description.abstract | In this paper we pursue the study of the problem of controlling the maximal
singular integral T∗ f by the singular integral T f. Here T is a smooth
homogeneous Calder´on-Zygmund singular integral of convolution type. We
consider two forms of control, namely, in the L2 (Rn) norm and via pointwise
estimates of T∗ f by M(T f) or M2 (T f) , where M is the Hardy-Littlewood
maximal operator and M2 = M ◦ M its iteration. It is known that the parity
of the kernel plays an essential role in this question. In a previous article
we considered the case of even kernels and here we deal with the odd case.
Along the way, the question of estimating composition operators of the type
e T ◦ T arises.. It turns out that, again, there is a remarkable difference between even and odd kernels. For even kernels we obtain, quite unexpectedly, weak (1, 1) estimates, which are no longer true for odd kernels. For odd kernels we obtain sharp weaker inequalities involving a weak L1 estimate for functions in L LogL. | es |
dc.description.sponsorship | Generalitat de Catalunya | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Oxford University Press | es |
dc.relation.ispartof | International Mathematics Research Notices, 2010 (19), 3658-3722. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | New estimates for the maximal singular integral | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | 2009SGR420 | es |
dc.relation.projectID | MTM2007-60062 | es |
dc.relation.projectID | FQM-1509 | es |
dc.relation.projectID | MTM2006-05622 | es |
dc.relation.publisherversion | http://imrn.oxfordjournals.org/content/2010/19/3658.full.pdf+html | es |
dc.identifier.doi | 10.1093/imrn/rnq017 | es |
dc.contributor.group | Universidad de Sevilla. FQM-354: Análisis Real | es |
idus.format.extent | 56 p. | es |
dc.journaltitle | International Mathematics Research Notices | es |
dc.publication.volumen | 2010 | es |
dc.publication.issue | 19 | es |
dc.publication.initialPage | 3658 | es |
dc.publication.endPage | 3722 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/45015 | |