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Distance from Bloch-type functions to the analytic space \(F(p, q, s)\). (English) Zbl 1474.42099

Summary: The analytic space \(F(p, q, s)\) can be embedded into a Bloch-type space. We establish a distance formula from Bloch-type functions to \(F(p, q, s)\), which generalizes the distance formula from Bloch functions to BMOA by Peter Jones, and to \(F(p, p - 2, s)\) by Zhao.

MSC:

42B35 Function spaces arising in harmonic analysis
30D45 Normal functions of one complex variable, normal families
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