Catálogo de publicaciones - tesis
Título de Acceso Abierto
Operadores asociados a la convergencia cesàro múltiple y aplicaciones a la teoría ergódica
Cecilia Ferrari Freire Ana Lucía Bernardis Eleonor Harboure Elida Ferreyra Sheldy Ombrosi Raquel Crescimbeni
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Resumen/Descripción – provisto por el repositorio digital
This thesis studies the convergence of some operators Cesàro sense when they are defined in the context of product spaces. In this context the results obtained on the convergence of the averages of Cesàro in product spaces by the dimension of the associated maximal operator. On the other hand, we study the mean Cesàro when we restrict ourselves to sequences lacunar. The stick to these sequences allowed us, on one hand, convergence results for a wider class of functions and for another, test results on the convergence rate of the same. In another phase of the work, we study singular integrals Cesàro sense in the context of product spaces. We then apply some of the results to the context of multiparameter Ergodic Theory. Here we study the convergence of multiple ergodic averages Cesàro type as well as generalize the bivariate case for the ergodic Hilbert transform and then study the ergodic Hilbert transform in the sense Cesàro biparametric. e) Finally, characterized weights for which the operator Cesàro maximal spaces in the context of product is limited and restricted weak type.Palabras clave – provistas por el repositorio digital
Cesàro converge; Spaces orlicz-Lorentz; Singular integral; Product spaces; Ergodic Theory; Convergencia Cesàro; Espacios de Orlicz-Lorentz; Integrales singulares; Espacios Producto; Teoría Ergódica
Disponibilidad
| Institución detectada | Año de publicación | Navegá | Descargá | Solicitá |
|---|---|---|---|---|
| No requiere | 2013 | 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
2013-06-07