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dc.creatorBongioanni, Bruno-
dc.creatorCabral, Enrique Adrian-
dc.creatorHarboure, Eleonor Ofelia-
dc.date2018-06-05T14:33:51Z-
dc.date2018-06-05T14:33:51Z-
dc.date2016-08-
dc.date2018-05-23T13:34:54Z-
dc.date.accessioned2019-04-29T15:28:52Z-
dc.date.available2019-04-29T15:28:52Z-
dc.date.issued2018-06-05T14:33:51Z-
dc.date.issued2018-06-05T14:33:51Z-
dc.date.issued2016-08-
dc.date.issued2018-05-23T13:34:54Z-
dc.identifierBongioanni, Bruno; Cabral, Enrique Adrian; Harboure, Eleonor Ofelia; Schrödinger type singular integrals: weighted estimates for p=1; Wiley VCH Verlag; Mathematische Nachrichten; 289; 11-12; 8-2016; 1341-1369-
dc.identifier0025-584X-
dc.identifierhttp://hdl.handle.net/11336/47299-
dc.identifier1522-2616-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/294893-
dc.descriptionA critical radius function ρ assigns to each x ∈ Rd a positive number in a way that its variation at different points is somehow controlled by a power of the distance between them. This kind of function appears naturally in the harmonic analysis related to a Schrödinger operator −∆ + V with V a non-negative potential satisfying some specific reverse Hölder condition. For a family of singular integrals associated with such critical radius function, we prove boundedness results in the extreme case p = 1. On one side we obtain weighted weak (1, 1) results for a class of weights larger than Muckenhoupt class A1. On the other side, for the same weights, we prove continuity from appropriate weighted Hardy spaces into weighted L1 . To achieve the latter result we define weighted Hardy spaces by means of a ρ-localized maximal heat operator. We obtain a suitable atomic decomposition and a characterization via ρ-localized Riesz Transforms for these spaces. For the case of ρ derived from a Schrödinger operator, we obtain new estimates for many of the operators appearing in-
dc.descriptionFil: Bongioanni, Bruno. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina. Universidad Nacional del Litoral. Facultad de Ingeniería y Ciencias Hídricas; Argentina-
dc.descriptionFil: Cabral, Enrique Adrian. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina-
dc.descriptionFil: Harboure, Eleonor Ofelia. Universidad Nacional del Litoral. Facultad de Ingeniería Química. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherWiley VCH Verlag-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://onlinelibrary.wiley.com/doi/abs/10.1002/mana.201400257-
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1002/mana.201400257-
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.subjectHARDY-
dc.subjectSCHRÖDINGER-
dc.subjectSPACES-
dc.subjectWEIGHTS-
dc.subjectMatemática Pura-
dc.subjectMatemáticas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleSchrödinger type singular integrals: weighted estimates for p=1-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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