%0 Journal Article
%A Gallardo Gutiérrez, Eva A.
%A Gorkin, Pamela
%A Suárez, Daniel
%T Orbits of non-elliptic disc automorphisms on H-p
%D 2012
%@ 0022-247X
%U https://hdl.handle.net/20.500.14352/43772
%X 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.
%~