Geodesic
Classification of Reducing Subspaces of a Class of Multiplication Operators on the Bergman Space via the Hardy Space of the Bidisk
Canadian journal of mathematics, Tome 62 (2010) no. 2, pp. 415-438

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DOI

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.
DOI : 10.4153/CJM-2010-026-4
Mots-clés : 47B35, 47B38 
Sun, Shunhua; Zheng, Dechao; Zhong, Changyong. Classification of Reducing Subspaces of a Class of Multiplication Operators on the Bergman Space via the Hardy Space of the Bidisk. Canadian journal of mathematics, Tome 62 (2010) no. 2, pp. 415-438. doi: 10.4153/CJM-2010-026-4
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     author = {Sun, Shunhua and Zheng, Dechao and Zhong, Changyong},
     title = {Classification of {Reducing} {Subspaces} of a {Class} of {Multiplication} {Operators} on the {Bergman} {Space} via the {Hardy} {Space} of the {Bidisk}},
     journal = {Canadian journal of mathematics},
     pages = {415--438},
     year = {2010},
     volume = {62},
     number = {2},
     doi = {10.4153/CJM-2010-026-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-026-4/}
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