In this paper,by lifting the Bergman shift as the compression of an isometry on a subspace of the Hardy space of the bidisk,we give a proof of the Beurling type theorem on the Bergman space of Aleman,Richter and Sundberg(1996) via the Hardy space of the bidisk.
机构:
Univ Artois, Fac Jean Perrin, Lab Math Lens LML UR 2462, Rue Jean Souvraz,SP 18, F-62300 Lens, France
Univ Artois, Fac Jean Perrin, Federat CNRS Nord Pas de Calais FR 2956, Rue Jean Souvraz,SP 18, F-62300 Lens, FranceUniv Artois, Fac Jean Perrin, Lab Math Lens LML UR 2462, Rue Jean Souvraz,SP 18, F-62300 Lens, France
Li, Daniel
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机构:
Queffelec, Herve
Rodriguez-Piazza, Luis
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机构:
Univ Seville, Dept Anal Matemat, Fac Matemat, Calle Tarfia S-N, Sevila 41012, Spain
Univ Seville, IMUS, Calle Tarfia S-N, Sevila 41012, SpainUniv Artois, Fac Jean Perrin, Lab Math Lens LML UR 2462, Rue Jean Souvraz,SP 18, F-62300 Lens, France