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author:

Liu, Ming-Sheng (Liu, Ming-Sheng.) [1] | Zhu, Yu-Can (Zhu, Yu-Can.) [2] (Scholars:朱玉灿)

Indexed by:

Scopus SCIE

Abstract:

In this paper, we first prove some sufficient conditions for the biholomorphic convex mappings on the Reinhardt domain D-p (p(j) >= 2, j = 1,... n) in C-n. From these, we construct some concrete examples of biholomorphic convex mappings on the Reinhardt domain D-p (p(j) >= 2, j = 1,... n). We also introduce a linear operator and a subclass of biholomorphic convex mappings for the purpose of constructing some biholomorphic convex mappings on D-p in C-n.

Keyword:

Biholomorphic convex mapping Minkowski functional Reinhardt domain

Community:

  • [ 1 ] [Liu, Ming-Sheng]S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
  • [ 2 ] [Zhu, Yu-Can]Fuzhou Univ, Dept Math, Fuzhou 350002, Peoples R China

Reprint 's Address:

  • [Liu, Ming-Sheng]S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R 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

ESI Discipline: MATHEMATICS;

JCR Journal Grade:4

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count: 4

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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