Sharp growth theorems and coefficient bounds for starlike mappings in several complex variables
Sharp growth theorems and coefficient bounds for starlike mappings in several complex variables
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DOI：
10.1007/s11401-007-0339-0
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发表时间：
2008-06
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影响因子：
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通讯作者：
H. Hamada;Tatsuhiro Honda
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文献类型：
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作者：
H. Hamada;Tatsuhiro Honda
设B是复Banach空间中的单位球。设Sk +1*（B）是B上的正规化星形映射族，使得z = 0是（z）-z的k +1阶零点.得到了Sk +1*（B）的各种子集的锐增长和覆盖定理，以及锐系数界.
LetBbe the unit ball in a complex Banach space. LetSk+1*(B) be the family of normalized starlike mappingsfonBsuch thatz= 0 is a zero of orderk+1 off(z)-z. The authors obtain sharp growth and covering theorems, as well as sharp coefficient bounds for various subsets ofSk+1*(B).