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Abstract:

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.

Registro:

Documento: Artículo
Título:Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators
Autor:Betancor, J.J.; Castro, A.J.; De Nápoli, P.L.; Farińa, J.C.; Rodríguez-Mesa, L.
Filiación:Departamento de Análisis Matemático, Universidad de la Laguna, Campus de Anchieta, Avda. Astrof́isico Francisco Sánchez, s/n, 38271, La Laguna, Sta. Cruz de Tenerife, Spain
Departamento de Matemática, Universidad de Buenos Aires, e Instituto de Investigaciones Matemáticas, Ciudad Universitaria, Luis A. Santaló, CONICET 1248 Pabellón 1, Buenos Aires, Argentina
Palabras clave:Bessel; Heat semigroups of operators; Laguerre; Maximal operators
Año:2014
Volumen:142
Número:1
Página de inicio:251
Página de fin:261
DOI: http://dx.doi.org/10.1090/S0002-9939-2013-11950-7
Título revista:Proceedings of the American Mathematical Society
Título revista abreviado:Proc. Am. Math. Soc.
ISSN:00029939
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v142_n1_p251_Betancor

Referencias:

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Citas:

---------- APA ----------
Betancor, J.J., Castro, A.J., De Nápoli, P.L., Farińa, J.C. & Rodríguez-Mesa, L. (2014) . Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators. Proceedings of the American Mathematical Society, 142(1), 251-261.
http://dx.doi.org/10.1090/S0002-9939-2013-11950-7
---------- CHICAGO ----------
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" . Proceedings of the American Mathematical Society 142, no. 1 (2014) : 251-261.
http://dx.doi.org/10.1090/S0002-9939-2013-11950-7
---------- MLA ----------
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" . Proceedings of the American Mathematical Society, vol. 142, no. 1, 2014, pp. 251-261.
http://dx.doi.org/10.1090/S0002-9939-2013-11950-7
---------- VANCOUVER ----------
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. Proc. Am. Math. Soc. 2014;142(1):251-261.
http://dx.doi.org/10.1090/S0002-9939-2013-11950-7