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Nonseparability of Banach spaces of bounded harmonic functions on Riemann surfaces. (English) Zbl 1254.30063

Summary: The separability of certain seminormed spaces of harmonic functions on Riemann surfaces will be considered. An application of the result obtained in the above to some inverse inclusion problem in the classification theory of Riemann surfaces will be appended.

MSC:

30F15 Harmonic functions on Riemann surfaces
46B26 Nonseparable Banach spaces
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References:

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