Let Bp^n={x∈R^b|‖x‖p≤1} be the unit ball of p norm in the n-dimensional normed space εp&n.The formula for the volume of Bp^n was obtained and its asymptotic properties were found out as n→∞and p→∞.
In this paper, we prove that the generalized Roper-Suffridge extension operator can be embeded in Loewner chains on the unit ball in Hibert spaces, and obtain the fact that the operator keeps the properties of almost ...In this paper, we prove that the generalized Roper-Suffridge extension operator can be embeded in Loewner chains on the unit ball in Hibert spaces, and obtain the fact that the operator keeps the properties of almost spirallike mapping of typeβ and order α, almost starlikeness of order α, spirallikeness of type ofβ and starlikeness.展开更多
基金Project supported by the Science Foundation of Shanghai Municipal Commission of Education (Grant No.24667).
文摘Let Bp^n={x∈R^b|‖x‖p≤1} be the unit ball of p norm in the n-dimensional normed space εp&n.The formula for the volume of Bp^n was obtained and its asymptotic properties were found out as n→∞and p→∞.
基金Foundation item: Supported by the National Natural Science Foundation of China(10626015 10571044) Supported by the Fundamental Research of National Natural Science Foundation of Henan University(04ZDZR004)
文摘In this paper, we prove that the generalized Roper-Suffridge extension operator can be embeded in Loewner chains on the unit ball in Hibert spaces, and obtain the fact that the operator keeps the properties of almost spirallike mapping of typeβ and order α, almost starlikeness of order α, spirallikeness of type ofβ and starlikeness.