Gallardo Gutiérrez, Eva AntoniaPartington, Jonathan R.Segura, Dolores2023-06-202023-06-2020091841-7744https://hdl.handle.net/20.500.14352/50587It 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.engjournal articlehttp://www.mathjournals.org/jot/2009-062-001/2009-062-001-010.pdfhttp://www.mathjournals.org/open access517Nvariant subspacesShift operatorBergman spacesDirichlet spacesCyclic vectorsAnálisis matemático1202 Análisis y Análisis Funcional