Geodesic
Weighted sub-Bergman Hilbert spaces in the unit disk
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 2, pp. 435-443

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We study sub-Bergman Hilbert spaces in the weighted Bergman space $A^2_\alpha $. We generalize the results already obtained by Kehe Zhu for the standard Bergman space $A^2$.
Classification : 30H05, 46E22, 47B35
Keywords: weighted Bergman space; sub-Bergman Hilbert space; weighted Toeplitz operator; reproducing kernel 
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     author = {Abkar, A. and Jafarzadeh, B.},
     title = {Weighted {sub-Bergman} {Hilbert} spaces in the unit disk},
     journal = {Czechoslovak Mathematical Journal},
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     zbl = {1220.47033},
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Abkar, A.; Jafarzadeh, B. Weighted sub-Bergman Hilbert spaces in the unit disk. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 2, pp. 435-443. http://geodesic.mathdoc.fr/item/CMJ_2010__60_2_a10/