Catálogo de publicaciones - tesis
Título de Acceso Abierto
Espacios Lipschitz generalizados y operadores invariantes por traslaciones
Bibiana Raquel Iaffei Eleonor Ofelia Harboure Roberto Aristóbulo Macías Carlos Segovia Felipe Joaquín Zó Hugo Alejandro Aimar
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Resumen/Descripción – provisto por el repositorio digital
We extend to context of the Generalized Lipschitz spaces and to context of the Orlicz spaces, the result of Stein and Zygmund about the Lp boundedness of translation invariant operators between Lipschitz spaces. They proved that if T maps the space Lipschitz alpha to the space Lipschitz beta , with beta greater than alpha, then T maps Lp to Lq , where 1 over q is equal to 1 over p minus beta minus alpha divided by n, and less than p and p less than infinity. Actually the main point in the proof of Stein-Zygmund theorem is that any translation invariant operator between Lipschitz spaces is a convolution operator with integrable kernel, satisfying a smoothness condition of the type L1 modulus of continuity controlled by a power exponent beta minus alpha. This can be achieved using the harmonic extension of kernel. In this thesis we show that if the Lipschitz spaces are substituted by generalized Lipschitz spaces where the smoothness condition is weakened to include continuity moduli more general than powers given by growth functions, and if T is a translation invariant operator that it maps one generalized Lipschitz space in other, then T also maps one Orlicz space in other for appropriate Young functions related with the growth functions.Palabras clave – provistas por el repositorio digital
Generalized Lipschitz spaces; Orlicz spaces; Translation invariant operators; Generalized Bessel potentials; Espacios Lipschitz generalizados; Espacios de Orlicz; Operadores invariantes por traslaciones; Potenciales de Bessel generalizados
Disponibilidad
| Institución detectada | Año de publicación | Navegá | Descargá | Solicitá |
|---|---|---|---|---|
| No requiere | 1997 | 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
1997-02-27