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| The generalized Roper-Suffridge extension operator in Banach spaces (Ⅲ) | |
| 基金项目： | supported by the Doctoral Foundation of Ministry of Education of China (Grant No. 20050574002);;the Natural Science Foundation of Fujian Province of China (Grant No. 2009J01007) |
| 摘 要： | Suppose that X is a complex Banach space with the norm ||·|| and n is a positive integer with dim X ≥n≥ 2. In this paper,we consider the generalized Roper-Suffridge extension operator Φn,β2,γ2,...,βn+1,γn+1(f) on the domain Ωp1,p2,...,pn+1 defined by |
| 关 键 词： | Roper-Suffridge extension operator biholomorphic starlike mapping almost spirallike mapping of type β and order α spirallike mapping of type β and order α |
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