对数调和映射的Pre-Schwarz导数
Pre-Schwarzian derivative for Logharmonic mapppings
摘要:
对对数调和映射引入了预Schwarzian导数的新定义,并证明了这类算子的链式法则、乘法不变性和仿射不变性等基本性质.它表明,前Schwarzain是稳定的,只有相对于旋转的身份。当预Schwarzian导数是全纯的情况下,一个特征。
英文摘要:
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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