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| 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 |
| Appears in Collections: | Artículos Publicados
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