Compact composition operators on weighted Hilbert spaces of analytic functions. (English) Zbl 1231.47024
The paper characterizes the compactness of composition operators acting on a large family of Hilbert spaces that lie between the Bergman space and the Dirichlet space of the unit disk. The characterization is based on a generalized version of the Nevanlinna counting function.
Reviewer: Kehe Zhu (Albany)
MSC:
| 47B33 | Linear composition operators |
| 47B32 | Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) |
| 47B07 | Linear operators defined by compactness properties |
References:
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