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...
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2012
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_0022247X_v388_n2_p1013_GallardoGutierrez https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0022247X_v388_n2_p1013_GallardoGutierrez_oai |
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dspace |
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I28-R145-paper_0022247X_v388_n2_p1013_GallardoGutierrez_oai2024-08-16 Gallardo-Gutiérrez, E.A. Gorkin, P. Suárez, D. 2012 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. application/pdf http://hdl.handle.net/20.500.12110/paper_0022247X_v388_n2_p1013_GallardoGutierrez info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Math. Anal. Appl. 2012;388(2):1013-1026 Blaschke products Eigenfunctions of composition operators Invariant subspaces Orbits of non-elliptic disc automorphisms on H p info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0022247X_v388_n2_p1013_GallardoGutierrez_oai |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-145 |
| collection |
Repositorio Digital de la Universidad de Buenos Aires (UBA) |
| topic |
Blaschke products Eigenfunctions of composition operators Invariant subspaces |
| spellingShingle |
Blaschke products Eigenfunctions of composition operators Invariant subspaces Gallardo-Gutiérrez, E.A. Gorkin, P. Suárez, D. Orbits of non-elliptic disc automorphisms on H p |
| topic_facet |
Blaschke products Eigenfunctions of composition operators Invariant subspaces |
| description |
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. |
| format |
Artículo Artículo publishedVersion |
| author |
Gallardo-Gutiérrez, E.A. Gorkin, P. Suárez, D. |
| author_facet |
Gallardo-Gutiérrez, E.A. Gorkin, P. Suárez, D. |
| author_sort |
Gallardo-Gutiérrez, E.A. |
| title |
Orbits of non-elliptic disc automorphisms on H p |
| title_short |
Orbits of non-elliptic disc automorphisms on H p |
| title_full |
Orbits of non-elliptic disc automorphisms on H p |
| title_fullStr |
Orbits of non-elliptic disc automorphisms on H p |
| title_full_unstemmed |
Orbits of non-elliptic disc automorphisms on H p |
| title_sort |
orbits of non-elliptic disc automorphisms on h p |
| publishDate |
2012 |
| url |
http://hdl.handle.net/20.500.12110/paper_0022247X_v388_n2_p1013_GallardoGutierrez https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0022247X_v388_n2_p1013_GallardoGutierrez_oai |
| work_keys_str_mv |
AT gallardogutierrezea orbitsofnonellipticdiscautomorphismsonhp AT gorkinp orbitsofnonellipticdiscautomorphismsonhp AT suarezd orbitsofnonellipticdiscautomorphismsonhp |
| _version_ |
1809356790292283392 |