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中文摘要：
在C^n中的单位球上进一步推广了Roper-Suffridge算子，并讨论推广后的算子保持双全纯映照子族的性质，证明在一定条件下，推广后的Roper-Suffridge算子在C^n中的单位球B^n上能嵌入Loewner链，进而从Loewner链的角度出发证明推广后的算子在一定条件下保持α次殆β型螺形性，从而得出推广后的Roper-Suffridge算子在一定条件下在B^n上保持β型螺形性，α次殆星形性及星形性．
英文摘要：
The Roper-Suffridge extension operator is ulteriorly generalized on the unit ball in C^n, and it is discussed that the generalized operator preserves some properties of subclasses of biholomorphic mappings. The fact that the generalized operator can be embeded in a Loewner chains under certain conditions on the unit ball in Cn is proved. And that the generalized operator preserves almost spirallikeness of typeβ and order a under certain conditions is proved from the point of view of Loewner chains, thereby the generalized operator can preserve spirallikeness of typeβ, almost starlikeness of order α and starlikeness under certain conditions on B^n.
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