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dc.contributor.author
Harboure, Eleonor Ofelia
dc.contributor.author
Salinas, Oscar Mario
dc.contributor.author
Viviani, Beatriz Eleonora
dc.date.available
2016-12-14T17:14:00Z
dc.date.issued
2014-03
dc.identifier.citation
Harboure, Eleonor Ofelia; Salinas, Oscar Mario; Viviani, Beatriz Eleonora; Local Maximal Function and Weights in a General Setting; Springer; Mathematische Annalen; 358; 3; 3-2014; 609-628
dc.identifier.issn
0025-5831
dc.identifier.uri
http://hdl.handle.net/11336/9380
dc.description.abstract
For a proper open set "omega" immersed in a metric space with the weak homogeneity property, and given a measure μ doubling on a certain family of balls lying “well inside” of "omega", we introduce a local maximal function and characterize the weights w for which it is bounded on L p("omega", wdμ) when 1 < p < ∞ and of weak type (1, 1). We generalize previous known results and we also present an application to interior Sobolev’s type estimates for appropriate solutions of the differential equation "delta" mu = f , satisfied in an open proper subset "omega" of Rn. Here, the data f belongs to some weighted L p space that could allow functions to increase polynomially when approaching the boundary of "omega".
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Local
dc.subject
Maximal
dc.subject
Weights
dc.subject
Boundedness
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Local Maximal Function and Weights in a General Setting
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2016-11-23T20:14:18Z
dc.identifier.eissn
1432-1807
dc.journal.volume
358
dc.journal.number
3
dc.journal.pagination
609-628
dc.journal.pais
Alemania
dc.journal.ciudad
Berlin
dc.description.fil
Fil: Harboure, Eleonor Ofelia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Matemática Aplicada "Litoral"; Argentina
dc.description.fil
Fil: Salinas, Oscar Mario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Matemática Aplicada "Litoral"; Argentina
dc.description.fil
Fil: Viviani, Beatriz Eleonora. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Matemática Aplicada "Litoral"; Argentina
dc.journal.title
Mathematische Annalen
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org//10.1007/s00208-013-0973-7
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs00208-013-0973-7
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