一类ρ次抛物星形映照的偏差上界估计

The distortion upper bound for some class of parabolic starlike mapping of order ρ

目前多种双全纯映照的偏差估计结果还较少.针对这一情况,研究了复向量空间Cn中开单位球Bn,复Banach空间中单位球B和域Ωp1,…,pn上一类ρ次抛物星形映照的偏差估计问题.利用不等式、矩阵及ρ次抛物星形映照的增长定理等方法,首次获得了上述域上的一类ρ次抛物星形映照的偏差上界估计.

There have been less the distortion results about many types of biholomorphic mappings. Aiming this issue, this paper researched the distortion estimation of parabolic starlike Mapping of orderpon unit ball Bn in complex vector space On,unit ballBon complex Banach space and Reinhardt domain Ωp1...pn By using the methods such as inequality,matrix and the growth and cover theorem of parabolic starlike mappings of order p,we obtained the distortion upper bound on above several domains.