Reducing subspaces for multiplication operators on the Dirichlet space through local inverses and Riemann surfaces

This paper gives a full characterization of the reducing subspaces for the multiplication operator Mϕ on the Dirichlet space with symbol of finite Blaschke product ϕ of order 5I 6I 7. The reducing subspaces of Mϕ on the Dirichlet space and Bergman space are related. Our strategy is to use local inve...

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Auteurs principaux: Gu Caixing, Luo Shuaibing, Xiao Jie
Format: article
Langue:EN
Publié: De Gruyter 2017
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Accès en ligne:https://doaj.org/article/e267cf83995b49aabb2ca8028a78e831
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