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2009•Canadian Journal of MathematicsOpen access

Classification of Reducing Subspaces of a Class of Multiplication Operators on the Bergman Space via the Hardy Space of the Bidisk

Shunhua Sun, Dechao Zheng, Changyong Zhong

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Abstract

Abstract In this paper we obtain a complete description of nontrivial minimal reducing subspaces of the multiplication operator by a Blaschke product with four zeros on the Bergman space of the unit disk via the Hardy space of the bidisk.

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Abstract In this paper we obtain a complete description of nontrivial minimal reducing subspaces of the multiplication operator by a Blaschke product with four zeros on the Bergman space of the unit disk via the Hardy space of the bidisk.

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Abstract In this paper we obtain a complete description of nontrivial minimal reducing subspaces of the multiplication operator by a Blaschke product with four zeros on the Bergman space of the unit disk via the Hardy space of the bidisk.

Key concepts: Hardy space, Linear subspace, Mathematics, Bergman space, Blaschke product, Multiplication (music), Unit disk, Space (punctuation)

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Classification of Reducing Subspaces of a Class of Multiplication Operators on the Bergman Space via the Hardy Space of the Bidisk — Research Paper | ScholarLens