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dc.contributor.author
Damek, E.  
dc.contributor.author
Garrigos Aniorte, Gustavo  
dc.contributor.author
Harboure, Eleonor Ofelia  
dc.contributor.author
Torrea Hernández, José Luis  
dc.date.available
2019-09-24T17:12:55Z  
dc.date.issued
2006-11  
dc.identifier.citation
Damek, E.; Garrigos Aniorte, Gustavo; Harboure, Eleonor Ofelia; Torrea Hernández, José Luis; Weighted inequalities and a.e. convergence for Poisson integrals in light-cones; Springer; Mathematische Annalen; 336; 3; 11-2006; 727-746  
dc.identifier.issn
0025-5831  
dc.identifier.uri
http://hdl.handle.net/11336/84288  
dc.description.abstract
We show that the Poisson maximal operator for the tube over the light-cone, P*, is bounded in the weighted space L p (w) if and only if the weight w(x) belongs to the Muckenhoupt class A p . We also characterize with a geometric condition related to the intrinsic geometry of the cone the weights v(x) for which P* is bounded from L p (v) into L p (u), for some other weight u(x) > 0. Some applications to a.e. restricted convergence of Poisson integrals are given.  
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
Symmetric Space  
dc.subject
Maximal Function  
dc.subject
Symmetric Domain  
dc.subject
Positive Borel Measure  
dc.subject
Weighted Inequality  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Weighted inequalities and a.e. convergence for Poisson integrals in light-cones  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2019-09-20T14:18:21Z  
dc.journal.volume
336  
dc.journal.number
3  
dc.journal.pagination
727-746  
dc.journal.pais
Alemania  
dc.journal.ciudad
Berlin  
dc.description.fil
Fil: Damek, E.. University of Wrocław; Polonia  
dc.description.fil
Fil: Garrigos Aniorte, Gustavo. Universidad Autónoma de Madrid; España  
dc.description.fil
Fil: Harboure, Eleonor Ofelia. 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: Torrea Hernández, José Luis. Universidad Autónoma de Madrid; España  
dc.journal.title
Mathematische Annalen  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00208-006-0023-9  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1007/s00208-006-0023-9  

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