English

On the Bongiorno's notion of absolute continuity

Functional Analysis 2014-04-02 v1

Abstract

We show that the classes of α\alpha-absolutely continuous functions in the sense of Bongiorno coincide for all 0<α<10<\alpha<1.

Keywords

Cite

@article{arxiv.1404.0064,
  title  = {On the Bongiorno's notion of absolute continuity},
  author = {Beata Randrianantoanina and Huaqiang Xu},
  journal= {arXiv preprint arXiv:1404.0064},
  year   = {2014}
}

Comments

6 pages, 1 figure; this paper is a partial replacement of the withdrawn paper Arxiv 1306.4291