J Austral Math Soc Ser A 59 pp244--254, 1995.

Characterization of Upeer Semicontinuously Integrable Functions

Zoltan Buczolich

(Received 30 October 1992; revised 7 April 1993)

Abstract

We show that for a Henstock-Kurzweil integrable function f for every e > 0 one can choose an upper semicontinuous gage function d, used in the definition of the HK-integral if and only if |f| is bounded by the Baire 1 function. This answers a question raised by C. E. Weil.

1991 AMS Subject Classification: 26A39

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Authors

Zoltan Buczolich: Department of Analysis, Eotovos Lorand University, Budapest, Muzeum krt 6-8, Hungary, H- 1088.
mailto:buczo@konig.elte.hu

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Last Modified: Thu Jan 9 9:04:24 2003