Gallardo Gutiérrez, Eva AntoniaGorkin, PamelaSuárez, Daniel2023-06-202023-06-202012Gallardo 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.2011.10.048.0022-247X10.1016/j.jmaa.2011.10.048https://hdl.handle.net/20.500.14352/43772Motivated 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.engjournal articlehttps//doi.org/10.1016/j.jmaa.2011.10.048http://www.sciencedirect.com/science/article/pii/S0022247X11009905restricted access517Blaschke productsInvariant subspacesEigenfunctions of composition operatorsAnálisis matemático1202 Análisis y Análisis Funcional