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Functions of Bounded (p(⋅), 2)-Variation in De la Vallée Poussin-Wiener’s Sense with Variable Exponent

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Document pages: 26 pages

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 and we show that any uniformly bounded composition operator that maps this space into itself necessarily satisfies the so-called Matkowski’s conditions.

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