Hausdorff operators on Bergman spaces of the upper half plane. (English) Zbl 1505.47035
Hausdorff summability of power series of analytic functions became a popular topic mainly by the efforts of G. Siskakis. The works of him and his collaborators and successors in the unit disk naturally motivated the following attempts at the search of counterparts in the upper half-plain. First works were in Hardy spaces. In this paper, a similar approach is applied to Bergman spaces.
Reviewer: Elijah Liflyand (Ramat-Gan)
MSC:
| 47B38 | Linear operators on function spaces (general) |
| 30H20 | Bergman spaces and Fock spaces |
| 46E15 | Banach spaces of continuous, differentiable or analytic functions |
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