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

preprint2015arXivOpen access

Abstract

We establish weak factorizations for a weighted Bergman space $A^p_{\a}$, with 1<p<∞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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