UNIFORMLY BOUNDED COMPOSITION OPERATORS ON A BANACH SPACE OF BOUNDED WIENER-YOUNG VARIATION FUNCTIONS

被引：0

作者：

Glazowska, Dorota ^{[1
]}

Atilio Guerrero, Jog ^{[2
]}

Matkowski, Janusz ^{[3
]}

Merentes, Nelson ^{[4
]}

机构：

[1] Univ Zielona Gora, Fac Math Comp Sci & Econometr, Zielona Gora, Poland

[2] Univ Nacl Expt Tachira, Dept Matemat & Fis, San Cristobal, Venezuela

[3] Univ Zielona Gora, Inst Math, Zielona Gora, Poland

[4] Cent Univ Venezuela, Escuela Matemat, Caracas, Venezuela

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2013年 / 50卷 / 02期

关键词：

phi-variation in the sense of Wiener; uniformly bounded operator; regularization; composition operator; Jensen equation;

D O I：

10.4134/BKMS.2013.50.2.675

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove, under some general assumptions, that a generator of any uniformly bounded Nemytskij operator, mapping a subset of space of-functions of bounded variation in the sense of Wiener-Young into another space of this type, must be an affine function with respect to the second variable.

引用

页码：675 / 685

页数：11

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