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
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