Characterization of upper semicontinuously integrable functions

Zoltán Buczolich

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Source: Crossref

Published: Oct 1, 1995

DOI: 10.1017/s1446788700038647

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Source abstract

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

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