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dc.contributor.author
Viola, Pablo Sebastian  
dc.contributor.author
Viviani, Beatriz Eleonora  
dc.date.available
2019-09-23T13:22:56Z  
dc.date.issued
2012-05  
dc.identifier.citation
Viola, Pablo Sebastian; Viviani, Beatriz Eleonora; An explicit expression for singular integral operators with non-necessarily doubling measures; Universidad de Barcelona; Collectanea Mathematica; 63; 2; 5-2012; 217-242  
dc.identifier.issn
0010-0757  
dc.identifier.uri
http://hdl.handle.net/11336/84088  
dc.description.abstract
We study singular integral operators with Hilbert-valued kernels in the setting of R n with non-necessarily doubling measures. We obtain an explicit formula for these operators following a similar approach as in Macías et al. (Adv Math 93:25?60, 1992). By using this formula and a result due to Krein we get a T1-theorem in this context. Finally, we develop a theory for antisymmetric kernels and we apply the results to the oscillation operators related to the Riesz transform.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Universidad de Barcelona  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Singular Integrals  
dc.subject
Non Doubling Measures  
dc.subject
Vector Valued Functions  
dc.subject
Oscillation Operators  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
An explicit expression for singular integral operators with non-necessarily doubling measures  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2019-09-20T14:15:57Z  
dc.journal.volume
63  
dc.journal.number
2  
dc.journal.pagination
217-242  
dc.journal.pais
España  
dc.description.fil
Fil: Viola, Pablo Sebastian. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo Consolidado de Matemática Pura y Aplicada; Argentina  
dc.description.fil
Fil: Viviani, Beatriz Eleonora. 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
Collectanea Mathematica  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s13348-011-0038-8  

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