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Weak conditions for interpolation in holomorphic spaces.

Alexander P Schuster, Kristian Seip (2000)

Publicacions Matemàtiques

An analogue of the notion of uniformly separated sequences, expressed in terms of extremal functions, yields a necessary and sufficient condition for interpolation in Lp spaces of holomorphic functions of Paley-Wiener-type when 0 < p ≤ 1, of Fock-type when 0 < p ≤ 2, and of Bergman-type when 0 < p < ∞. Moreover, if a uniformly discrete sequence has a certain uniform non-uniqueness property with respect to any such Lp space (0 < p < ∞), then it is an interpolation...

Weighted composition operators from $F (p, q, s)$ spaces to $H_{μ}^{\infty}$ spaces.

Zhu, Xiangling (2009)

Abstract and Applied Analysis

Weighted composition operators on weighted Bergman spaces of infinite order with the closed range property

Elke Wolf (2011)

Matematički Vesnik

Weighted sub-Bergman Hilbert spaces

Maria Nowak, Renata Rososzczuk (2014)

Annales UMCS, Mathematica

We consider Hilbert spaces which are counterparts of the de Branges-Rovnyak spaces in the context of the weighted Bergman spaces A2α, −1 < α < ∞. These spaces have already been studied in [8], [7], [5] and [1]. We extend some results from these papers

Weighted sub-Bergman Hilbert spaces in the unit disk

Ali Abkar, B. Jafarzadeh (2010)

Czechoslovak Mathematical Journal

We study sub-Bergman Hilbert spaces in the weighted Bergman space $A_{α}^{2}$ . We generalize the results already obtained by Kehe Zhu for the standard Bergman space $A^{2}$ .