Orbits of non-elliptic disc automorphisms on H p
Motivated by the Invariant Subspace Problem, we describe explicitly the closed subspace H 2 generated by the limit points in the H 2 norm of the orbit of a thin Blaschke product B under composition operators C φ induced by non-elliptic automorphisms. This description exhibits a surprising connection...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2012 |
| País: | Argentina |
| Institución: | Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales |
| Repositorio: | Biblioteca Digital (UBA-FCEN) |
| Idioma: | inglés |
| OAI Identifier: | paperaa:paper_0022247X_v388_n2_p1013_GallardoGutierrez |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_0022247X_v388_n2_p1013_GallardoGutierrez |
| Access Level: | acceso abierto |
| Palabra clave: | Blaschke products Eigenfunctions of composition operators Invariant subspaces |
| Sumario: | Motivated by the Invariant Subspace Problem, we describe explicitly the closed subspace H 2 generated by the limit points in the H 2 norm of the orbit of a thin Blaschke product B under composition operators C φ induced by non-elliptic automorphisms. This description exhibits a surprising connection to model spaces. Finally, we give a constructive characterization of the C φ-eigenfunctions in H p for 1≤p≤∞. © 2011 Elsevier Inc. |
|---|