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dc.contributor.author
Cruz-Uribe, David
dc.contributor.author
Dalmasso, Estefanía Dafne
dc.contributor.author
Martín Reyes, Francisco Javier
dc.contributor.author
Ortega Salvador, Pedro
dc.date.available
2020-07-06T14:31:45Z
dc.date.issued
2019-11
dc.identifier.citation
Cruz-Uribe, David; Dalmasso, Estefanía Dafne; Martín Reyes, Francisco Javier; Ortega Salvador, Pedro; The Calderón operator and the Stieltjes transform on variable Lebesgue spaces with weights; Universidad de Barcelona; Collectanea Mathematica; 11-2019
dc.identifier.issn
0010-0757
dc.identifier.uri
http://hdl.handle.net/11336/108875
dc.description.abstract
We characterize the weights for the Stieltjes transform and the Calder´on operator to be bounded on the weighted variable Lebesgue spaces $L_w^{p(cdot)}(0,infty)$, assuming that the exponent function $pp$ is log-H"older continuous at the origin and at infinity. We obtain a single Muckenhoupt-type condition by means of a maximal operator defined with respect to the basis of intervals ${ (0,b) : b>0}$ on $(0,infty)$. Our results extend those in cite{DMRO1} for the constant exponent $L^p$ spaces with weights. We also give two applications: the first is a weighted version of Hilbert´s inequality on variable Lebesgue spaces, and the second generalizes the results in cite{SW} for integral operators to the variable exponent setting.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Universidad de Barcelona
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
CALDERÓN OPERATOR
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HARDY OPERATOR
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STIELTJES TRANSFORM
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MAXIMAL OPERATOR
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WEIGHTED INEQUALITIES
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MUCKENHOUPT WEIGHTS
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VARIABLE LEBESGUE SPACES
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
The Calderón operator and the Stieltjes transform on variable Lebesgue spaces with weights
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-07-01T20:06:35Z
dc.journal.pais
España
dc.journal.ciudad
Barcelona
dc.description.fil
Fil: Cruz-Uribe, David. University Of Alabama;
dc.description.fil
Fil: Dalmasso, Estefanía Dafne. 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: Martín Reyes, Francisco Javier. Universidad de Málaga. Facultad de Ciencias; España
dc.description.fil
Fil: Ortega Salvador, Pedro. Universidad de Málaga. Facultad de Ciencias; España
dc.journal.title
Collectanea Mathematica
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/10.1007/s13348-019-00272-3
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s13348-019-00272-3
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