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

被引:0
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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
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关键词
Variation in the sense of Waterman; composition operator; regularization; uniformly bounded operator; Jensen equation; Primary 47B33; Secondary 26B30;
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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.
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页码:4305 / 4320
页数:15
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