RT Journal Article T1 Orbits of non-elliptic disc automorphisms on H-p A1 Gallardo Gutiérrez, Eva Antonia A1 Gorkin, Pamela A1 Suárez, Daniel AB 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-phi, induced by non-elliptic automorphisms. This description exhibits a surprising connection to model spaces. Finally, we give a constructive characterization of the C-phi-eigenfunctions in H-p for 1 <= p <= infinity. (C) 2011 Elsevier Inc. All rights reserved. PB Elsevier SN 0022-247X YR 2012 FD 2012 LK https://hdl.handle.net/20.500.14352/43772 UL https://hdl.handle.net/20.500.14352/43772 LA eng NO Gallardo Gutiérrez, E. A., et al. «Orbits of Non-Elliptic Disc Automorphisms on H p». Journal of Mathematical Analysis and Applications, vol. 388, n.o 2, abril de 2012, pp. 1013-26. DOI.org (Crossref), https://doi.org/10.1016/j.jmaa.2011.10.048. NO Gobierno de Aragón research group Análisis Matemático y Aplicaciones NO Ramón y Cajal program NO Instituto Universitario de Matemáticas y Aplicaciones DS Docta Complutense RD 8 abr 2025