In this article, we mainly study the invariance of some biholomorphic mappings with special geometric characteristics under the extension operators. First we generalize the Roper-Suffridge extension operators on Bergman-Hartogs domains. Then, by the geometric characteristics of subclasses of biholomorphic mappings, we conclude that the modified Roper-Suffridge operators preserve the properties of SΩ*Ω(β, A, B), parabolic and spirallike mappings of type β and order ρ, strong and almost spirallike mappings of type β and order α as well as almost starlike mappings of complex order λ on Ωp1Bn,…,ps,q under different conditions, respectively. The conclusions provide new approaches to construct these biholomorphic mappings in several complex variables.
Chaojun WANG
,
Yanyan CUI
,
Hao LIU
. SUBCLASSES OF BIHOLOMORPHIC MAPPINGS UNDER THE EXTENSION OPERATORS[J]. Acta mathematica scientia, Series B, 2019
, 39(1)
: 297
-311
.
DOI: 10.1007/s10473-019-0122-9
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