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Higher Bers maps and BMO-Teichmüller space. (English) Zbl 1470.30036

Summary: We prove that the higher Bers maps, induced by the higher Schwarzian differential operators, are holomorphic in BMO-Teichmüller space and their derivatives at the origin are linear bounded and surjective.

MSC:

30F60 Teichmüller theory for Riemann surfaces
32G15 Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)
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