论文标题

用于Logharmonic映射的Schwarzian前衍生物

Pre-Schwarzian derivative for Logharmonic mapppings

论文作者

Bravo, V., Hernandez, R., Venegas, O.

论文摘要

我们为这些操作员证明了针对Logharmonic映射和基本属性(例如链条规则,乘法不变性和仿射不变性)的新定义的新定义。结果表明,前施华嗪仅相对于身份的旋转才稳定。对于史克瓦尔兹派衍生物是全态的情况,给出了表征。

We introduce a new definition of pre-Schwarzian derivative for logharmonic mappings and basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzain is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic.

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