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dc.contributor.author
Lerner, Andrei k.  
dc.contributor.author
Ombrosi, Sheldy Javier  
dc.date.available
2017-04-19T18:15:09Z  
dc.date.issued
2010-01  
dc.identifier.citation
Lerner, Andrei k.; Ombrosi, Sheldy Javier; A boundedness criterion for general maximal operators; Univ Autonoma Barcelona; Publicacions Matematiques; 54; 1; 1-2010; 53-71  
dc.identifier.issn
0214-1493  
dc.identifier.uri
http://hdl.handle.net/11336/15454  
dc.description.abstract
We consider maximal operators MBMB with respect to a basis BB. In the case when MBMB satisfies a reversed weak type inequality, we obtain a boundedness criterion for MBMB on an arbitrary quasi-Banach function space XX. Being applied to specific BB and XX this criterion yields new and short proofs of a number of well-known results. Our principal application is related to an open problem on the boundedness of the two-dimensional one-sided maximal function M+M+ on LpwLwp.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Univ Autonoma Barcelona  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Maximal Operators  
dc.subject
One Sided Maximal Function  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
A boundedness criterion for general maximal operators  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-04-18T14:15:41Z  
dc.identifier.eissn
2014-4350  
dc.journal.volume
54  
dc.journal.number
1  
dc.journal.pagination
53-71  
dc.journal.pais
España  
dc.journal.ciudad
Barcelona  
dc.description.fil
Fil: Lerner, Andrei k.. Bar-Ilan University; Israel  
dc.description.fil
Fil: Ombrosi, Sheldy Javier. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Bahía Blanca. Instituto de Matemática Bahía Blanca (i); Argentina  
dc.journal.title
Publicacions Matematiques  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.5565/PUBLMAT_54110_03  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.raco.cat/index.php/PublicacionsMatematiques/article/view/10.5565-PUBLMAT_54110_03  

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