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author:

刘名生 (刘名生.) [1] | 朱玉灿 (朱玉灿.) [2]

Abstract:

在C~n中的有界完全Reinhardt域Ω上推广的Roper-Suffridge算子Φ(f)定义为Φ_(n,β_2,γ_2,…,β_n,γ_n)~r(f)(z)=(rf(z_1/r),((rf(z_1/r))/z_1)~(β_2)(f′(z_1/r))~γ_2_(z_2,…,)((rf(z_1/r))/z_1)~(β_n)(f′(z_1/r))~(γ_n)_(z_n),其中n≥2,(z_1,z_2,…,z_n)∈Ω,r=r(Ω)=sup{|z_1|:(z_1,z_2,…,z_n)∈Ω},0≤γ_j≤1-β_j,0≤β_j≤1,这里选取幂函数的单值解析分支,使得((f(z_1))/z_1)~(β...

Keyword:

β型螺形映射 双全纯星形映射 完全Reinhardt域 推广的Roper-Sufrridge算子

Community:

  • [ 1 ] 华南师范大学数学科学学院
  • [ 2 ] 福州大学数学与计算机科学学院 广州 510631
  • [ 3 ] 福州 350002

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Source :

中国科学A辑

Year: 2007

Issue: 10

Page: 1193-1206

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ESI Highly Cited Papers on the List: 0 Unfold All

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30 Days PV: 0

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