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Giménez, J., Merentes, N., Pineda, E. and Rodríguez, L. (2016) Uniformly Bounded Superposition Operators in the Space of Second Bounded Variation Functions in the Sense of Shiba. Publicaciones en Ciencias y Tecnología, 10, 49-58.

has been cited by the following article:

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

  AUTHORS: Liliana Pérez, Ebner Pineda, Luz Rodríguez

  KEYWORDS: Functional Analysis, Bounded Variation, Second Bounded Variation, Banach Space

  JOURNAL NAME: Advances in Pure Mathematics, Vol.10 No.5, May 12, 2020

  ABSTRACT: 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.