Higher Schwarzian derivative and Dirichlet Morrey space

Shuan Tang, Guangming Hu, Qingtian Shi, Jianjun Jin

Abstract


We treat the logarithmic derivative model and Schwarzian derivative model of the Dirichlet-Morrey {\teich} space. It is shown that the higher Bers maps, induced by the higher Schwarzian differential operators, are holomorphic in Dirichlet-Morrey {\teich} space. It is also shown that the logarithmic derivative model of this {\teich} space is connected.

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