Artículo
Weak-type boundedness of the Hardy-Littlewood maximal operator on weighted Lorentz spaces
Fecha de publicación:
01/2016
Editorial:
Birkhauser Boston Inc
Revista:
Journal Of Fourier Analysis And Applications
ISSN:
1069-5869
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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 Λpu(w)Λup(w) , whenever p>1p>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.
Palabras clave:
Weighted Lorentz Spaces
,
Hardy Littlewood Maximal Operator
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Articulos(IAM)
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Citación
Agora, Elona; Antezana, Jorge Abel; Carro, María Jesús; Weak-type boundedness of the Hardy-Littlewood maximal operator on weighted Lorentz spaces; Birkhauser Boston Inc; Journal Of Fourier Analysis And Applications; 22; 6; 1-2016; 1431–1439
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