Loewner chains associated with the generalized Roper-Suffridge extension operator |
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| Authors: | Tai-Shun Liu |
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| Institution: | Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China |
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| Abstract: | In this paper, we introduce two classes of generalized Roper-Suffridge extension operators and prove that they can be embedded in Loewner chains. In particular, our proof shows that these two classes of operators preserve starlikeness and spirallikeness of type α on two important classes of Reinhardt domains in Cn, respectively. Finally, some other related results are given. |
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| Keywords: | Loewner chains Roper-Suffridge extension operator Starlike mapping Spirallike mapping of type α Reinhardt domain |
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