Weak-Type Boundedness of the Hardy–Littlewood Maximal Operator on Weighted Lorentz Spaces

The main goal of this paper is to provide a characterization of the weak-type boundedness of the Hardy–Littlewood maximal operator, M, on weighted Lorentz spaces Λ<sup>p</sup>ᵤ(w), whenever p > 1. This solves a problem left open in (Carro et al., Mem Am Math Soc. 2007). Moreover, with...

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Autores principales: Agora, Elona, Antezana, Jorge Abel, Carro, María J.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2016
Materias:
Matemática
Weighted Lorentz spaces
Hardy–Littlewood maximal operator
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/135522
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-135522
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Weighted Lorentz spaces
Hardy–Littlewood maximal operator
spellingShingle Matemática
Weighted Lorentz spaces
Hardy–Littlewood maximal operator
Agora, Elona
Antezana, Jorge Abel
Carro, María J.
Weak-Type Boundedness of the Hardy–Littlewood Maximal Operator on Weighted Lorentz Spaces
topic_facet Matemática
Weighted Lorentz spaces
Hardy–Littlewood maximal operator
description The main goal of this paper is to provide a characterization of the weak-type boundedness of the Hardy–Littlewood maximal operator, M, on weighted Lorentz spaces Λ<sup>p</sup>ᵤ(w), whenever p > 1. This solves a problem left open in (Carro et al., Mem Am Math Soc. 2007). Moreover, with this result, we complete the program of unifying the study of the boundedness of M on weighted Lebesgue spaces and classical Lorentz spaces, which was initiated in the aforementioned monograph.
format Articulo
Articulo
author Agora, Elona
Antezana, Jorge Abel
Carro, María J.
author_facet Agora, Elona
Antezana, Jorge Abel
Carro, María J.
author_sort Agora, Elona
title Weak-Type Boundedness of the Hardy–Littlewood Maximal Operator on Weighted Lorentz Spaces
title_short Weak-Type Boundedness of the Hardy–Littlewood Maximal Operator on Weighted Lorentz Spaces
title_full Weak-Type Boundedness of the Hardy–Littlewood Maximal Operator on Weighted Lorentz Spaces
title_fullStr Weak-Type Boundedness of the Hardy–Littlewood Maximal Operator on Weighted Lorentz Spaces
title_full_unstemmed Weak-Type Boundedness of the Hardy–Littlewood Maximal Operator on Weighted Lorentz Spaces
title_sort weak-type boundedness of the hardy–littlewood maximal operator on weighted lorentz spaces
publishDate 2016
url http://sedici.unlp.edu.ar/handle/10915/135522
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AT antezanajorgeabel weaktypeboundednessofthehardylittlewoodmaximaloperatoronweightedlorentzspaces
AT carromariaj weaktypeboundednessofthehardylittlewoodmaximaloperatoronweightedlorentzspaces
bdutipo_str Repositorios
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