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arxiv: math/0612531 · v1 · submitted 2006-12-18 · 🧮 math.CV

New characterizations of Bergman spaces

classification 🧮 math.CV
keywords bergmancharacterizationsgradientspacesalphaballderivativeholomorphic
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We obtain several new characterizations for the standard weighted Bergman spaces $A^p_\alpha$ on the unit ball of $\cn$ in terms of the radial derivative, the holomorphic gradient, and the invariant gradient.

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