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: | , , |
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Formato: | Articulo |
Lenguaje: | Inglés |
Publicado: |
2016
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Materias: | |
Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/135522 |
Aporte de: |
id |
I19-R120-10915-135522 |
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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 |
work_keys_str_mv |
AT agoraelona weaktypeboundednessofthehardylittlewoodmaximaloperatoronweightedlorentzspaces AT antezanajorgeabel weaktypeboundednessofthehardylittlewoodmaximaloperatoronweightedlorentzspaces AT carromariaj weaktypeboundednessofthehardylittlewoodmaximaloperatoronweightedlorentzspaces |
bdutipo_str |
Repositorios |
_version_ |
1764820455439466498 |