On functions of (ϕ, 2, α)-bounded variation
DOI:
https://doi.org/10.22199/issn.0717-6279-2020-05-0074Keywords:
Riesz p-variation, (φ, 2)-bounded variation, Bounded variationAbstract
We introduce the (ϕ, 2, α)-bounded variation spaces, which are a common generalization between Riesz’s spaces, p-variation and (ϕ, 2)-bounded variation spaces. We also study its structure as Banach spaces, as well as some embedding results.
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Copyright (c) 2020 René Erlín Castillo, Héctor Camilo Chaparro Gutiérrez, Eduard Trousselot
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