Functions of Bounded κφ-Variation in the Sense of Riesz-Korenblum

被引：1

作者：

Castillo, Mariela ^{[1
]}

Rivas, Sergio ^{[2
]}

Sanoja, Maria ^{[1
]}

Zea, Ivan ^{[1
]}

机构：

[1] Cent Univ Venezuela, Escuela Matemat, Caracas 1050, Venezuela

[2] Univ Nacl Abierta, Area Matemat, Caracas 1010, Venezuela

来源：

JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2013年

关键词：

COMPOSITION OPERATORS; BANACH-SPACE;

D O I：

10.1155/2013/718507

中图分类号：

学科分类号：

摘要：

We present the space of functions of bounded kappa phi-variation in the sense of Riesz-Korenblum, denoted by kappa BV phi[a,b], which is a combination of the notions of bounded phi-variation in the sense of Riesz and bounded kappa-variation in the sense of Korenblum. Moreover, we prove that the space generated by this class of functions is a Banach space with a given norm and we prove that the uniformly bounded composition operator satisfies Matkowski's weak condition.

引用

页数：12

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