一类α次强星形映照的偏差定理

Distortion theorem for a class of strongly starlike mappings of orderα

目前多种双全纯映照的偏差估计结果还较少.针对这一问题,研究复向量空间Cn中开单位球Bn,复Banach空间中单位球B和域Ωp1,…,pn上一类α次强星形映照的偏差估计问题.利用不等式、矩阵及α次强星形映照的增长定理等方法,获得上述域上的一类α次强星形映照的偏差估计.

There is still less results in distortion estimation of multiple bi-holomorphic mappings at present. Aimed at this problem, the distortion estimation of strongly starlike mapping of order a on open unit ball B. in complex vector space Cn, unit ball B in complex Banach space, and domain Ωp1…,pn, is investigated. By using the methods such as inequality, matrix, and growth theorem of strongly starlike mapping of order a, the distortion estimation of mapping on above-mentioned domains is obtained.