Catálogo de publicaciones - tesis
Título de Acceso Abierto
Análisis en el semigrupo generado por el operador de Schrödinger
Enrique Adrián Cabral Eleonor Ofelia Harboure Raquel Crescimbeni Francisco Javier Martín Reyes Roberto Scotto Bruno Bongioanni
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Resumen/Descripción – provisto por el repositorio digital
In the last twenty years the real analysis associated to Schrödinger type operators began a progressive development. Especially, during the last decade there have been many studies seeking to extend to this context some of the known results in the analysis of the Laplacian. The purpose of this work is to deepen the study of operators and spaces associated to the harmonic analysis related to the semigroup whose infinitesimal generator is the Schrödinger operator. The associated potential is considered to be non-negative and satisfying an appropriate reverse Hölder’s inequality. More specifically, we are interested in defining and studying Hardy and BMO type spaces with suitable weights, as well as to obtain the boundedness of certain integral and fractional operators acting on such spaces and on weighted Lebesgue spaces. One of the main tools to carry out this task is the development of an extrapolation theory adapted to the maximal operators and weights that arise in the analysis of the Schrödinger operator. This theory is developed in a quite general framework so that can be set to our context.Palabras clave – provistas por el repositorio digital
Schrödinger; extrapolation; Hardy; BMO; weights; potential; extrapolación; pesos; potencial
Disponibilidad
| Institución detectada | Año de publicación | Navegá | Descargá | Solicitá |
|---|---|---|---|---|
| No requiere | 2014 | 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
2014-12-29
