Catálogo de publicaciones - tesis
Título de Acceso Abierto
Acotaciones con pesos del operador maximal generalizado en espacios de tipo homogéneo
Ana María Kanashiro Oscar Mario Salinas Sheldy Javier Ombrosi Liliana María Forzani Ana Lucía Bernardi Gladis Pradolini
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Resumen/Descripción – provisto por el repositorio digital
For a Young function, we define the generalized maximal operator associated with this function and we study modular estimates with and without weights in the context of spaces of homogeneous type. We show that these estimates are all equivalent to a Dini-type condition that involves the functions related to the spaces and the function associated with the operator. In particular we obtain a generalization of a result of C. Perez, R. Wheeden (2001). In a second instance we characterize A1 class of Muckenhoupt weights associated with these estimates and the Dini condition, extending and improving a result of H. Kita (1996) and extending to a more general context a theorem of the same author (2005). For the demonstration of the results mentioned above we stated weak type inequalities and weak and inverse type inequality for the generalized maximal operator. Also we obtained a relationship with the A1 class of weights. Furthermore we define and characterize a class of weights related to the generalized maximal operator that finally becomes coincident with the class defined by R. Bagby (1990) associated with the classical Hardy-Littlewood operator.Palabras clave – provistas por el repositorio digital
Generalized maximal operator; Modular inequalities; Operadores maximales generalizados; Desigualdades modulares
Disponibilidad
| Institución detectada | Año de publicación | Navegá | Descargá | Solicitá |
|---|---|---|---|---|
| No requiere | 2009 | Biblioteca Virtual de la Universidad Nacional del Litoral (SNRD) |
|
Información
Tipo de recurso:
tesis
Idiomas de la publicación
- español castellano
País de edición
Argentina
Fecha de publicación
2009-09-22