One Roper-Suﬀridge Extension Operator in Complex Banach Spaces

Chinese Quarterly Journal of Mathematics ›› 2013, Vol. 28 ›› Issue (3): 468-474.

1. Department of Mathematics and Physics, Henan University of Urban Construction2. College of Science, Beijing University of Posts and Telecommunications

Received:2012-12-15 Online:2013-09-30 Published:2023-02-27
About author:WANG Xiao-feng(1966-), female, native of Pingdingshan, Henan, an associate professor of Henan University of Urban Construction, engages in complex analysis; XU Yi-fei(1990-), male, native of Kaifeng, Henan, engages in complex analysis.
Supported by:
Supported by the NNSF of China(11271359)

Abstract

Abstract: In this paper, by the definition of almost spirallike mappings of type β and orderαand the geometric property of the spirallike mapping of type β, we prove that the generalized Roper-SufFridge extension operator preserves almost spirallikeness of type β and orderαin complex Banach spaces.

Key words: Roper-Su?ridge , extension , operator; , Reinhardt , domains; , complex , Banach spaces

CLC Number:

O174.2

WANG Xiao-feng, XU Yi-fei. One Roper-Suﬀridge Extension Operator in Complex Banach Spaces[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(3): 468-474.

[1]	YANG Jing-bao, WEI Zhong-li. Existence of Solutions for Generalized Sturm-Liouville m-point Boundary Value Problems in Banach Spaces [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 265-269.
[2]	LI Xian. Function Theory of a Class of Bounded Reinhardt Domains [J]. Chinese Quarterly Journal of Mathematics, 2006, 21(1): 115-123.
[3]	ZHANG Zhi-hong, LI Wen-feng. Iterative Solution for Systems of Nonlinear Two Binary Operator Equations [J]. Chinese Quarterly Journal of Mathematics, 2004, 19(3): 262-266.

One Roper-Suﬀridge Extension Operator in Complex Banach Spaces

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