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Characterization of upper semicontinuously integrable functions
Published online by Cambridge University Press: 09 April 2009
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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- Research Article
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- Copyright © Australian Mathematical Society 1995
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