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Higher Schwarzian derivative and Dirichlet Morrey space

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We treat the logarithmic derivative model and Schwarzian derivative model of the Dirichlet-Morrey Teichm?ller space. It is shown that the higher Bers maps, induced by the higher Schwarzian differential operators,… Click to show full abstract

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

Keywords: space; higher schwarzian; schwarzian derivative; dirichlet morrey; derivative model

Journal Title: Filomat
Year Published: 2019

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