%0 Journal Article
%A Gallardo Gutiérrez, Eva Antonia
%A Partington, Jonathan R.
%A Segura, Dolores
%T Cyclic vectors and invariant subspaces for Bergman and Dirichlet shifts
%D 2009
%@ 1841-7744
%U https://hdl.handle.net/20.500.14352/50587
%X 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.
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