Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators

In this paper we prove that the generalized (in the sense of Caffarelli and Calderón) maximal operators associated with heat semigroups for Bessel and Laguerre operators are weak type $ (1,1)$. Our results include other known ones, and our proofs are simpler than the ones for the known special cases...

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Detalles Bibliográficos
Autores: Betancor, J. J., Castro, A. J., de Napoli, Pablo Luis, Fariña, J. C., Rodríguez Mesa, L.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/21014
Acceso en línea:http://hdl.handle.net/11336/21014
Access Level:acceso abierto
Palabra clave:Maximal Operators
Bessel
Laguerre
Heat Semigroups of Operators
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:In this paper we prove that the generalized (in the sense of Caffarelli and Calderón) maximal operators associated with heat semigroups for Bessel and Laguerre operators are weak type $ (1,1)$. Our results include other known ones, and our proofs are simpler than the ones for the known special cases.