V. Marraffa, Department of Mathematics, University of Palermo, Via Archirafi, 34, 90123 Palermo, Italy, e-mail: marraffa@math.unipa.it
Abstract: A weak form of the Henstock Lemma for the $PoU$-integrable functions is given. This allows to prove the existence of a scalar Volterra derivative for the $PoU$-integral. Also the $PoU$-integrable functions are characterized by means of Pettis integrability and a condition involving finite pseudopartitions.
Keywords: Pettis integral, McShane integral, $PoU$ integral, Volterra derivative
Classification (MSC 2000): 28B05, 46G10
Full text available as PDF (smallest), as compressed PostScript (.ps.gz) or as raw PostScript (.ps).
Access to the full text of journal articles on this site is restricted to the subscribers of Myris Trade. To activate your access, please contact Myris Trade at myris@myris.cz.