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Improving bounds for singular operators via sharp reverse Hölder inequality for A∞

 

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dc.creator Ortiz Caraballo, Carmen María es
dc.creator Pérez Moreno, Carlos es
dc.creator Rela, Ezequiel es
dc.date.accessioned 2016-10-11T12:38:27Z
dc.date.available 2016-10-11T12:38:27Z
dc.date.issued 2013
dc.identifier.isbn 9783034805155 es
dc.identifier.isbn 9783034805162 es
dc.identifier.uri http://hdl.handle.net/11441/47396
dc.description.abstract In this expository article we collect and discuss some recent results on different consequences of a Sharp Reverse Hölder Inequality for A∞ weights. For two given operators T and S, we study Lp(w) bounds of CoifmanFefferman type: kT fkLp(w) ≤ cn,w,pkSfkLp(w), that can be understood as a way to control T by S. We will focus on a quantitative analysis of the constants involved and show that we can improve classical results regarding the dependence on the weight w in terms of Wilson’s A∞ constant [w]A∞ := sup Q 1 w(Q) Z Q M(wχQ). We will also exhibit recent improvements on the problem of finding sharp constants for weighted norm inequalities involving several singular operators In the same spirit as in T. Hytönen and C. Perez, Sharp weighted bounds involving A∞, we obtain mixed A1-A∞ estimates for the commutator [b, T] and for its higher order analogue Tk b. A common ingredient in the proofs presented here is a recent improvement of the Reverse Hölder Inequality for A∞ weights involving Wilson’s constant from T. Hytönen and C. Perez, Sharp weighted bounds involving A∞. es
dc.format application/pdf es
dc.language.iso eng es
dc.publisher Springer es
dc.relation.ispartof Advances in harmonic analysis and operator theory es
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 Reverse Hölder Inequality es
dc.subject Maximal operators es
dc.subject Singular integrals es
dc.subject Calderón-Zygmund theory es
dc.subject Commutators es
dc.title Improving bounds for singular operators via sharp reverse Hölder inequality for A∞ es
dc.type info:eu-repo/semantics/bookPart es
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 MTM2009-08934 es
dc.relation.projectID FQM-4745 es
dc.relation.publisherversion http://download.springer.com/static/pdf/161/chp%253A10.1007%252F978-3-0348-0516-2_17.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Fchapter%2F10.1007%2F978-3-0348-0516-2_17&token2=exp=1476190533~acl=%2Fstatic%2Fpdf%2F161%2Fchp%25253A10.1007%25252F978-3-0348-0516-2_17.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Fchapter%252F10.1007%252F978-3-0348-0516-2_17*~hmac=2966c322c65b1786f7b88adb27b93fbb173cad6dc2eda4030b94e7fd42d38dcb es
dc.identifier.doi 10.1007/978-3-0348-0516-2_17 es
dc.contributor.group Universidad de Sevilla. FQM-354 Análisis Real es
idus.format.extent 17 p. es
dc.publication.initialPage 303 es
dc.publication.endPage 321 es
dc.relation.publicationplace Basel es
dc.identifier.idus https://idus.us.es/xmlui/handle/11441/47396
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