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dc.contributor.author
Bongioanni, Bruno
dc.contributor.author
Cabral, Adrián
dc.contributor.author
Harboure, Eleonor Ofelia
dc.date.available
2017-12-15T17:32:57Z
dc.date.issued
2016-08
dc.identifier.citation
Bongioanni, Bruno; Cabral, Adrián; 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.identifier.issn
0025-584X
dc.identifier.uri
http://hdl.handle.net/11336/30771
dc.description.abstract
A 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 Schr¨odinger operator −∆ + V with V a non-negative potential satisfying some specific reverse H¨older condition. For a family of singular integrals associated to 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 Schr¨odinger operator, we obtain new estimates for of many of the operators appearing in [16].
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Wiley VCH Verlag
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Schrödinger Operator
dc.subject
Hardy Spaces
dc.subject
Weights
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Schrödinger type singular integrals: weighted estimates for p=1
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-12-12T18:15:46Z
dc.journal.volume
289
dc.journal.number
11-12
dc.journal.pagination
1341-1369
dc.journal.pais
Alemania
dc.journal.ciudad
Weinheim
dc.description.fil
Fil: 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
dc.description.fil
Fil: Cabral, Adrián. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas Naturales y Agrimensura; Argentina
dc.description.fil
Fil: Harboure, Eleonor Ofelia. 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.journal.title
Mathematische Nachrichten
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1002/mana.201400257
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://onlinelibrary.wiley.com/doi/10.1002/mana.201400257/abstract;jsessionid=5E5D6233C7504A6E88D07F5316F450FF.f02t01
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