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oai:docta.ucm.es:20.500.14352/505872024-07-12T14:15:54Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Gallardo Gutiérrez, Eva Antonia author Partington, Jonathan R. author Segura, Dolores author 2009 It is shown that the invariant subspaces for the Bergman and Dirichlet shifts on the right half-plane correspond to the common invariant subspaces of the right shift operators on certain weighted Lebesgue spaces on the half-line. As a particular instance, the corresponding result for invariant subspaces of multipliers induced by weak-star generators of H(infinity)(D) on weighted Bergman spaces of the unit disc is deduced. Finally, cyclic vectors for the Bergman and Dirichlet shifts are also studied. 1841-7744 https://hdl.handle.net/20.500.14352/50587 http://www.mathjournals.org/jot/2009-062-001/2009-062-001-010.pdf http://www.mathjournals.org/ Cyclic vectors and invariant subspaces for Bergman and Dirichlet shifts