Uniformly continuous composition operators in the space of bounded φ-variation functions

被引：10
|
作者：
Guerrero, J. A. [1 ]
Leiva, H. [2 ]
Matkowski, J. [3 ]
Merentes, N. [4 ]
机构：
[1] Univ Nacl Expt Tachira, Dpto Matemat & Fis, San Cristobal, Venezuela
[2] Univ Los Andes, Escuela Matemat, Merida, Venezuela
[3] Univ Zielona Gora, Inst Math, Zielona Gora, Poland
[4] Cent Univ Venezuela, Escuela Matemat, Caracas, Venezuela
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 06期
关键词：
phi-variation in the sense of Wiener; Uniformly continuous operator; Regularization; Composition operator; Jensen equation;
D O I：
10.1016/j.na.2009.11.051
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that, under some general assumptions, a generator of any uniformly continuous Nemytskii operator, mapping a subset of space of bounded variation functions in the sense of Wiener into another space of this type, must be an affine function. As a special case, we obtain an earlier result from Matkowski (in press) [4]. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3119 / 3123
页数：5
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