Orbits of non-elliptic disc automorphisms on H p

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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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Autores principales: Gallardo-Gutiérrez, E.A., Gorkin, P., Suárez, D.
Formato: JOUR
Materias:
Blaschke products
Eigenfunctions of composition operators
Invariant subspaces
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0022247X_v388_n2_p1013_GallardoGutierrez
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_0022247X_v388_n2_p1013_GallardoGutierrez
record_format dspace
spelling todo:paper_0022247X_v388_n2_p1013_GallardoGutierrez2023-10-03T14:29:17Z Orbits of non-elliptic disc automorphisms on H p Gallardo-Gutiérrez, E.A. Gorkin, P. Suárez, D. Blaschke products Eigenfunctions of composition operators Invariant subspaces 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0022247X_v388_n2_p1013_GallardoGutierrez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (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 JOUR
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
url http://hdl.handle.net/20.500.12110/paper_0022247X_v388_n2_p1013_GallardoGutierrez
work_keys_str_mv AT gallardogutierrezea orbitsofnonellipticdiscautomorphismsonhp
AT gorkinp orbitsofnonellipticdiscautomorphismsonhp
AT suarezd orbitsofnonellipticdiscautomorphismsonhp
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