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

页码：3119 / 3123

页数：5

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