Some Results on the Space of Bounded Second Variation Functions in the Sense of Shiba
Some Results on the Space of Bounded Second Variation Functions in the Sense of Shiba作者机构：Escuela Superior Politécnica del Litoral (ESPOL) FCNM Campus Gustavo Galindo Guayaquil Ecuador
出 版 物：《Advances in Pure Mathematics》 (理论数学进展（英文）)
年 卷 期：2020年第10卷第5期
页 面：245-258页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Functional Analysis Bounded Variation Second Bounded Variation Banach Space
摘 要：In this paper, we study the structure of the space of functions of bounded second variation in the sense of Shiba;an integral representation theorem is also proved and necessary conditions are given for that the space be closed under composition of functions. Another significant result is the proof that this space of bounded second variation in the sense of Shiba is a Banach algebra, which is not immediate as it happens in other spaces of generalized bounded variation.
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