A characterization of Bergman spaces on the unit ball of ℂn. II

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Abstract

It has been shown that a holomorphic function f in the unit ball B n of Cn belongs to the weighted Bergman space A pα, p > n + 1 + α, if and only if the function | f (z) - f (w)|/|1 - h(z, w)| is in Lp(Bn × Bn, dvβ × dvβ), where β = (p + α - n - 1)/2 and dvβ(z) = (1 - |z| 2)β dv(z). In this paper we consider the range 0 < p < p < n + 1 + α and p > n + 1 + α is particularly interesting. © Canadian Mathematical Society 2011.

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Li, S., Wulan, H., & Zhu, K. (2012). A characterization of Bergman spaces on the unit ball of ℂn. II. Canadian Mathematical Bulletin, 55(1), 146–152. https://doi.org/10.4153/CMB-2011-047-6

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