Area operator on Bergman spaces. (English) Zbl 1105.30019
Summary: We characterize the non-negative measures \(\mu\) on the unit disk \(\mathbb D\) for which the area operator \(A_\mu\) is bounded from Bergman space \(A_p^\alpha\) to \(L^q(\partial\mathbb D)\).
MSC:
| 30D50 | Blaschke products, etc. (MSC2000) |
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