Operator-weighted composition operators between weighted spaces of vector-valued analytic functions

• Published in: Annales Academiae Scientiarum Fennicae Mathematica
• Main Authors: Bonet Solves, José Antonio, Gómez Collado, María del Carmen, Jornet Casanova, David, Wolf, Elke
• Other Authors: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada, Generalitat Valenciana, Universitat Politècnica de València, Ministerio de Ciencia e Innovación
• Format: Article in Journal/Newspaper
• Language: English
• Published: Suomalainen Tiedeakatemia (Finnish Academy of Science and Letters) 2012
• Subjects: Composition operators; Weighted spaces of analytic fucntions; Spaces of vector-valued analytic functions; Locally convex spaces; Kothe echelon spaces; MATEMATICA APLICADA; Psi; tylli
• Online Access: http://hdl.handle.net/10251/40476; https://doi.org/10.5186/aasfm.2012.3723

We investigate several properties of operator-weighted composition maps W-psi,W-phi f (right bar arrow) psi(f o phi) on unweighted H (D, X) and weighted H-nu(infinity) (D, X) spaces of vector-valued analytic functions on the unit disc D. Here phi is an analytic self-map of D and psi is an analytic o...