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Closure of Bergman and Dirichlet spaces in the Bloch norm. (English) Zbl 1455.30049

Authors’ abstract: The closure of the weighted Bergman and Dirichlet spaces in the Bloch norm is described in terms of a kind of Lusin area function and natural level sets. In certain special cases simpler characterizations are also offered. The results are applied in the study of interpolating Blaschke products.

MSC:

30H30 Bloch spaces
46E15 Banach spaces of continuous, differentiable or analytic functions
30J10 Blaschke products
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