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author:

Liu, M.-S. (Liu, M.-S..) [1] | Zhu, Y.-C. (Zhu, Y.-C..) [2]

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Scopus

Abstract:

In this paper, we first prove some sufficient conditions for the biholomorphic convex mappings on the Reinhardt domain DP (pj ≥ 2, j = 1,⋯ ,n) in Cn. From these, we construct some concrete examples of biholomorphic convex mappings on the Reinhardt domain DP (Pj ≥ 2, j = 1,⋯, n). We also introduce a linear operator and a sub class of biholomorphic convex mappings for the purpose of constructing some biholomorphic convex mappings on DP in Cn. Copyright © 2009 Rocky Mountain Mathematics Consortium.

Keyword:

Biholomorphic convex mapping; Minkowski functional; Reinhardt domain

Community:

  • [ 1 ] [Liu, M.-S.]School op Mathematical Sciences, South China Normal University, Guangzhou 510631, Guangdong, China
  • [ 2 ] [Zhu, Y.-C.]Department of Mathematics, Fuzhou University, Fuzhou 350002, Fujian, China

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Source :

Rocky Mountain Journal of Mathematics

ISSN: 0035-7596

Year: 2009

Issue: 3

Volume: 39

Page: 853-878

0 . 2 6

JCR@2009

0 . 7 0 0

JCR@2023

JCR Journal Grade:4

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 4

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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