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arxiv: 1407.4632 · v2 · pith:RBC2NWVVnew · submitted 2014-07-17 · 🧮 math.FA · math.CV

Weak factorization and Hankel forms for weighted Bergman spaces on the unit ball

classification 🧮 math.FA math.CV
keywords bergmanweightedballspacesunitformshankelweak
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We establish weak factorizations for a weighted Bergman space $A^p_{\a}$, with $1<p<\infty$, into two weighted Bergman spaces on the unit ball of $\C^n$. To obtain this result, we characterize bounded Hankel forms on weighted Bergman spaces on the unit ball of $\C^n$.

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