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dc.contributor.author
Ayala, Maria Rocio Arantzazu
dc.contributor.author
Cabral, Enrique Adrian
dc.date.available
2024-04-18T13:47:37Z
dc.date.issued
2023-09-21
dc.identifier.citation
Ayala, Maria Rocio Arantzazu; Cabral, Enrique Adrian; Boundedness of fractional operators associated with Schrödinger operators on weighted variable Lebesgue spaces via extrapolation; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 66; 1; 21-9-2023; 35-67
dc.identifier.issn
0041-6932
dc.identifier.uri
http://hdl.handle.net/11336/233458
dc.description.abstract
In this work we obtain boundedness results for fractional operators associated with Schrödinger operators L = −Δ+V on weighted variable Lebesgue spaces. These operators include fractional integrals and their respective commutators. In particular, we obtain weighted inequalities of the type Lp(·)-Lq(·) and estimates of the type Lp(·)-Lipschitz variable integral spaces. For this purpose, we developed extrapolation results that allow us to obtain boundedness results of the type described above in the variable setting by starting from analogous inequalities in the classical context. Such extrapolation results generalize what was done by Harboure, Macías, and Segovia [Amer. J. Math. 110 no. 3 (1988), 383–397], and by Bongioanni, Cabral, and Harboure [Potential Anal. 38 no. 4 (2013), 1207–1232], for the classic case, that is, V ≡ 0 and p(·) constant, respectively.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Unión Matemática Argentina
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
EXTRAPOLATION
dc.subject
FRACTIONAL OPERATORS
dc.subject
SCHRÖDINGER OPERATOR
dc.subject
VARIABLE LEBESGUE SPACES
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Boundedness of fractional operators associated with Schrödinger operators on weighted variable Lebesgue spaces via extrapolation
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2024-04-05T11:04:50Z
dc.identifier.eissn
1669-9637
dc.journal.volume
66
dc.journal.number
1
dc.journal.pagination
35-67
dc.journal.pais
Argentina
dc.journal.ciudad
Santa Fe
dc.description.fil
Fil: Ayala, Maria Rocio Arantzazu. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe; Argentina
dc.description.fil
Fil: Cabral, Enrique Adrian. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Nordeste. Instituto de Modelado e Innovación Tecnológica. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas Naturales y Agrimensura. Instituto de Modelado e Innovación Tecnológica; Argentina
dc.journal.title
Revista de la Unión Matemática Argentina
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.33044/revuma.4347
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://inmabb.criba.edu.ar/revuma/revuma.php?p=doi/v66n1a02
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