2020
DOI: 10.3906/mat-2001-43
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On quasi-affinity and reducing subspaces of multiplication operator on a certain closed subspace

Abstract: Let H denote a certain closed subspace of the Bergman space A 2 α (Bn)(α > −1) of the unit ball in C n. In this paper, we prove that the operator m ⊕ 1 M z (s 1 ,••• ,sn) is quasi-affine to the multiplication operator M z (ms 1 ,•••,msn) on H. Furthermore, the reducing subspaces of M z (ms 1 ,••• ,msn) are characterized on H .

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