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Lacunary series in some weighted meromorphic function spaces. (English) Zbl 1290.30028

Summary: We study meromorphic functions \(f^\sharp\) on the unit disc \(\mathbb D\) with Hadamard gaps, under some conditions posed on the functions.

MSC:

30D30 Meromorphic functions of one complex variable (general theory)
30B10 Power series (including lacunary series) in one complex variable
46E15 Banach spaces of continuous, differentiable or analytic functions