Abstract
The well-known Hake Theorem asserts that if a function $f$ is Denjoy$^*$ integrable then it is also Perron integrable, and the two integrals are equal. In \cite{Ene1} we introduced a very strong Perron integration $({\mathcal P}_{1,1})$ and proved the corresponding Hake-type theorem, using the Vitali-Carath\'eodory Theorem. In this paper we give a new, less technical proof of this result, using essentially Lusin's Theorem.
Citation
Vasile Ene. "On an Improvement of the Hake Theorem." Real Anal. Exchange 24 (2) 867 - 873, 1998/1999.
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