Artículo
Generalized maximal functions and related operators on weighted Musielak-Orlicz spaces
Fecha de publicación:
02/2014
Editorial:
Suomalainen Tiedeakatemia
Revista:
Annales Academiae Scientiarum Fennicae. Mathematica
ISSN:
1239-629X
e-ISSN:
1798-2383
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We characterize the class of weights related to the boundedness of maximal operators associated to a Young function η in the context of variable Lebesgue spaces. Fractional versions of these results are also obtained by means of a weighted Hedberg type inequality. These results are new even in the classical Lebesgue spaces. We also deal with Wiener’s type inequalities for the mentioned operators in the variable context. As applications of the strong type results for the maximal operators, we derive weighted boundedness properties for a large class of operators controlled by them.
Palabras clave:
Musielak-Orlicz Spaces
,
Weights
,
Maximal Functions
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Identificadores
Colecciones
Articulos(IMAL)
Articulos de INST.DE MATEMATICA APLICADA "LITORAL"
Articulos de INST.DE MATEMATICA APLICADA "LITORAL"
Citación
Bernardis, Ana Lucia; Dalmasso, Estefanía Dafne; Pradolini, Gladis Guadalupe; Generalized maximal functions and related operators on weighted Musielak-Orlicz spaces; Suomalainen Tiedeakatemia; Annales Academiae Scientiarum Fennicae. Mathematica; 39; 2-2014; 23-50
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