论文标题
关于fekete-szegö问题的注意，在Banach空间中有关螺旋状映射的问题
Note on the Fekete--Szegö problem for spirallike mappings in Banach spaces
论文作者
论文摘要
在本说明中，我们在本文中介绍了“关于几个复杂变量中与螺旋式映射相关的一类全体形态映射的系数不平等”的评论。我们表明，\ cite {lx}中的一个定理，涉及有限维空间$ \ mathbb {c}^n $是另一个的直接结果，因此它不需要独立证明。此外，我们证明，可以从\ cite {lx}的结果中推导出对一般Banach空间中的螺旋形映射对螺旋型映射的功能的尖锐范围估计。
In this note we present a remark on the paper "On the coefficient inequalities for a class of holomorphic mappings associated with spirallike mappings in several complex variables" by Y.~Lai and Q.~Xu \cite{LX} published recently in the journal {\it Results in Mathematics}. We show that one of the theorems in \cite{LX} concerning the finite-dimensional space $\mathbb{C}^n$ is a direct consequence of another one, so it does not need an independent proof. Moreover, we prove that a sharp norm estimate on the Fekete--Szegö functional over spirallike mappings in a general Banach space can be deduced from a result in \cite{LX}.
