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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Publicado: 2014
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v142_n1_p251_Betancor
http://hdl.handle.net/20.500.12110/paper_00029939_v142_n1_p251_Betancor
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spelling paper:paper_00029939_v142_n1_p251_Betancor2023-06-08T14:23:34Z Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators 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. 2014 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v142_n1_p251_Betancor 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
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.
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
publishDate 2014
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v142_n1_p251_Betancor
http://hdl.handle.net/20.500.12110/paper_00029939_v142_n1_p251_Betancor
_version_ 1768541728864731136