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Cyclic vectors and invariant subspaces for Bergman and Dirichlet shifts Gallardo Gutiérrez, Eva Antonia Partington, Jonathan R. Segura, Dolores 517 Nvariant subspaces Shift operator Bergman spaces Dirichlet spaces Cyclic vectors Análisis matemático 1202 Análisis y Análisis Funcional 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. Plan Nacional I+D Gobierno de Aragon research group Analisis Matematico y Aplicaciones Vicerrectorado de Investigacion, Desarrollo e Innovacion Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T10:34:19Z 2023-06-20T10:34:19Z 2009 journal article https://hdl.handle.net/20.500.14352/50587 1841-7744 eng MTM2006-06431 DGA E-64 JAV/mjs -2004 open access application/pdf The Theta Foundation