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dc.contributor.author
Cabral, Adrián
dc.contributor.author
Pradolini, Gladis Guadalupe
dc.contributor.author
Ramos, Wilfredo Ariel
dc.date.available
2017-12-18T15:01:10Z
dc.date.issued
2016-04
dc.identifier.citation
Ramos, Wilfredo Ariel; Pradolini, Gladis Guadalupe; Cabral, Adrián; Extrapolation and weighted norm inequalities between Lebesgue and Lipschitz spaces in the variable exponent context; Elsevier; Journal Of Mathematical Analysis And Applications; 436; 1; 4-2016; 620-636
dc.identifier.issn
0022-247X
dc.identifier.uri
http://hdl.handle.net/11336/30864
dc.description.abstract
We give extrapolation results starting from weighted inequalities between Lebesgue and Lipschitz spaces, given by sup B kwχBk∞ |B| 1+ δ n ˆ B |f(x) − mB(f)| dx ≤ C kgwks , (0.1) where 1 < β < ∞, 0 ≤ δ < 1, δ n = 1 β − 1 s , f and g are two measurable functions and w belongs to a suitable class of weights. From this hypothesis we obtain a large class of inequalities including weighted L p − L q estimates and weighted L p - Lipschitz integral spaces, generalizing well know results for certain sublinear operator. From the same hypothesis (0.1) we obtain the corresponding results in the setting of variable exponent spaces. Particularly, we obtain estimates of the type L p(·) -variable versions of Lipschitz integral spaces. We also prove a surprising weighted inequalities of the type L p(·) -L q(·) . An important tool in order to get the main results is an improvement of an estimate due to Calderon and Scott in [1], which allow us to relate different integral Lipschitz spaces. Our results are new even in the classical context of constant exponents.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Variable Exponent Spaces
dc.subject
Lipschitz Spaces
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Rubio de Francia Extrapolation
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Weights
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Maximal Operator
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Fractional Integrals
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Extrapolation and weighted norm inequalities between Lebesgue and Lipschitz spaces in the variable exponent context
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-12-12T18:15:23Z
dc.journal.volume
436
dc.journal.number
1
dc.journal.pagination
620-636
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Cabral, Adrián. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas Naturales y Agrimensura; Argentina
dc.description.fil
Fil: Pradolini, Gladis Guadalupe. 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: Ramos, Wilfredo Ariel. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas Naturales y Agrimensura; Argentina
dc.journal.title
Journal Of Mathematical Analysis And Applications
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.journals.elsevier.com/journal-of-mathematical-analysis-and-applications
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1016/j.jmaa.2015.12.020
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