Uniformly Bounded Composition Operators on the Space of Bounded Variation Functions in the Sense of Waterman

被引：0

作者：

Wadie Aziz

Tomas Ereú

José A. Guerrero

机构：

[1] Universidad de Los Andes,Departamento de Física y Matemáticas

[2] Universidad Nacional Abierta,Centro Local Lara

[3] Universidad Nacional Experimental del Táchira,Departamento de Matemática y Física

来源：

Mediterranean Journal of Mathematics | 2016年 / 13卷

关键词：

Variation in the sense of Waterman; composition operator; regularization; uniformly bounded operator; Jensen equation; Primary 47B33; Secondary 26B30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we demonstrate under some general assumptions, that a generator of any uniformly bounded composition operator, mapping spaces of bounded variation (Waterman) functions into other spaces of this type, must be an affine function in the functional variable.

引用

页码：4305 / 4320

页数：15

共 19 条

[1]

Chistyakov V.V.(2002)Mappings of generalized variation and composition operators J. Math. Sci. 110 2455-2466

[2]

Chistyakov V.V.(2004)Selections of Bounded Variation J. Appl. Anal. 10 1-82

[3]

Chistyakov V.V.(2003)Lipschitzian operators of substitution in the algebra J. Diff. Equ. Appl. 9 407-416

[4]

Solycheva O.M.(1986)Set-valued Jensen functional equation Rev. Roumaine Math. Pures Appl. 31 297-302

[5]

Fifer Z.(2010)On uniformly continuous Nemytskij operators generated by set-valued functions Aequat. Math. 79 293-306

[6]

Mainka E.(1987)On some properties of functions of generalized variation Mh. Math. 104 53-65

[7]

Maligranda L.(1982)Functional equation and Nemytskij operators Funkc. Ekvac. 25 127-132

[8]

Orlicz W.(2012)Uniformly bounded set-valued Nemytskij operators acting between generalized Hölder function spaces Central Eur. J. Math. 10 609-618

[9]

Matkowski J.(1984)Some remarks on functions of Proc. Am. Math. Soc. 11 331-341

[10]

Matkowski J.(1952)-bounded variation Proc. Am. Math. Soc. 3 165-169

← 1 2 →