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....

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Betancor, J.J., Castro, A.J., De Nápoli, P.L., Farińa, J.C., Rodríguez-Mesa, L.
Formato: JOUR
Materias:
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00029939_v142_n1_p251_Betancor
Aporte de:
id todo:paper_00029939_v142_n1_p251_Betancor
record_format dspace
spelling todo:paper_00029939_v142_n1_p251_Betancor2023-10-03T13:55:16Z Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators Betancor, J.J. Castro, A.J. De Nápoli, P.L. Farińa, J.C. Rodríguez-Mesa, L. Bessel Heat semigroups of operators Laguerre Maximal 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. © 2013 American Mathematical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00029939_v142_n1_p251_Betancor
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Bessel
Heat semigroups of operators
Laguerre
Maximal operators
spellingShingle Bessel
Heat semigroups of operators
Laguerre
Maximal operators
Betancor, J.J.
Castro, A.J.
De Nápoli, P.L.
Farińa, J.C.
Rodríguez-Mesa, L.
Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators
topic_facet Bessel
Heat semigroups of operators
Laguerre
Maximal operators
description 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. © 2013 American Mathematical Society.
format JOUR
author Betancor, J.J.
Castro, A.J.
De Nápoli, P.L.
Farińa, J.C.
Rodríguez-Mesa, L.
author_facet Betancor, J.J.
Castro, A.J.
De Nápoli, P.L.
Farińa, J.C.
Rodríguez-Mesa, L.
author_sort Betancor, J.J.
title Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators
title_short Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators
title_full Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators
title_fullStr Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators
title_full_unstemmed Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators
title_sort weak type (1,1) estimates for caffarelli-calderón generalized maximal operators for semigroups associated with bessel and laguerre operators
url http://hdl.handle.net/20.500.12110/paper_00029939_v142_n1_p251_Betancor
work_keys_str_mv AT betancorjj weaktype11estimatesforcaffarellicalderongeneralizedmaximaloperatorsforsemigroupsassociatedwithbesselandlaguerreoperators
AT castroaj weaktype11estimatesforcaffarellicalderongeneralizedmaximaloperatorsforsemigroupsassociatedwithbesselandlaguerreoperators
AT denapolipl weaktype11estimatesforcaffarellicalderongeneralizedmaximaloperatorsforsemigroupsassociatedwithbesselandlaguerreoperators
AT farinajc weaktype11estimatesforcaffarellicalderongeneralizedmaximaloperatorsforsemigroupsassociatedwithbesselandlaguerreoperators
AT rodriguezmesal weaktype11estimatesforcaffarellicalderongeneralizedmaximaloperatorsforsemigroupsassociatedwithbesselandlaguerreoperators
_version_ 1807316674470215680