Geodesic
Weighted sub-Bergman Hilbert spaces
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 68 (2014) no. 1.

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We consider Hilbert spaces which are counterparts of the de Branges-Rovnyak spaces in the context of the weighted Bergman spaces A^2_α, −1 lt; α lt; ∞. These spaces have already been studied in [8], [7], [5] and [1]. We extend some results from these papers. 
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Nowak, Maria; Rososzczuk, Renata. Weighted sub-Bergman Hilbert spaces. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 68 (2014) no. 1. http://geodesic.mathdoc.fr/item/AUM_2014_68_1_a7/

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[8] Zhu, K., Sub-Bergman Hilbert spaces in the unit disk, II, J. Funct. Anal. 202 (2003), 327-341.

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