Space of Functions with Some Generalization of Bounded Variation in the Sense of de La Vallée Poussin-Reference-Cited by-同舟云学术

Space of Functions with Some Generalization of Bounded Variation in the Sense of de La Vallée Poussin

Published:2015 Issue: Volume:2015 Page:1-9
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Castillo René Erlín¹,Rafeiro Humberto²,Trousselot Eduard³

Affiliation:

1. Departamento de Matemáticas, Universidad Nacional de Colombia, Bogotá, Colombia

2. Departamento de Matemáticas, Pontificia Universidad Javeriana, Carrera 7a No. 43-82, Bogotá, Colombia

3. Departamento de Matemáticas, Universidad de Oriente, Cumaná 6101, Estado Sucre, Venezuela

Abstract

We introduce a function space with some generalization of bounded variation in the sense of de la Vallée Poussin and study some of its properties, like embeddings and decompositions, among others.

Funder

Pontificia Universidad Javeriana

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2015/605380.pdf

Reference16 articles.

1. Embeddings on Spaces of Generalized Bounded Variation

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The relationship between LipFα([a,b]) and BVFα,p([a,b]);AIP Conference Proceedings;2023

2. Characterization of the $\mathrm{RV}_{\phi, 2, \alpha}([a, b])$ space;Rocky Mountain Journal of Mathematics;2020-10-01

3. Nemytskii operator on $$(\phi ,2,\alpha )$$-bounded variation space in the sense of Riesz;Journal of Pseudo-Differential Operators and Applications;2020-09-15

4. A note on Merentes--Riesz bounded variation spaces;Miskolc Mathematical Notes;2018