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> Functions of Bounded (p(⋅),2)-Variation in De la Vallée Poussin-Wiener’s Sense with Variable Exponent
Please use this identifier to cite or link to this item: https://saber.ucv.ve/handle/10872/20583

Title: Functions of Bounded (p(⋅),2)-Variation in De la Vallée Poussin-Wiener’s Sense with Variable Exponent
Authors: Mejia, Odalis
Silvestre, Pilar
Valera-López, Maira
Keywords: Generalized Variation
De la Vallée Poussin
( p (⋅), 2) -Variation in Wiener’s Sense
Variable Exponent
Composition Operator
Matkowski’s Condition
Issue Date: 15-Feb-2020
Series/Report no.: 2017;7
Abstract: In this paper we establish the notion of the space of bounded (p(⋅), 2)- variation in De la Vallée Poussin-Wiener’s sense with variable exponent. We show some properties of this space ( ( ) ) [ ] ,2 , Wp BV[a,b] ⋅ and we show that any uniformly bounded composition operator that maps this space into itself necessarily satisfies the so-called Matkowski’s conditions.
URI: http://hdl.handle.net/10872/20583
ISSN: 2160-0384
2160-0368
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