Some Results on the Space of Bounded Second Variation Functions in the Sense of Shiba  

作　　者：Liliana Pérez Ebner Pineda Luz Rodríguez 

机构地区：[1]Escuela Superior Politécnica del Litoral (ESPOL), FCNM, Campus Gustavo Galindo, Guayaquil, Ecuador

出　　处：《Advances in Pure Mathematics》2020年第5期245-258,共14页理论数学进展（英文）

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.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.

关 键 词：Functional Analysis BOUNDED VARIATION SECOND BOUNDED VARIATION BANACH SPACE 

分 类 号：O17[理学—数学]