Improper Riemann Integral and Henstock Integral in $\mathbb R^n$
Matematičeskie zametki, Tome 78 (2005) no. 2, pp. 251-258
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The Henstock integral in $\mathbb R^n$ and its relation to the $n$-dimensional improper Riemann integral are studied. A Hake-type theorem for the Henstock integral in $\mathbb R^n$ is proved.
[1] Bartle R., A Modern Theory of Integration, Amer. Math. Soc., Providence, RI, 2001 | MR | Zbl
[2] Fikhtengolts G. M., Kurs differentsialnogo i integralnogo ischisleniya, T. 3, Fizmatlit, M.–SPb., 2002
[3] Zorich V. A., Matematicheskii analiz, T. 2, MTsNMO, M., 2002
[4] Faure C.-A., Mawhin J., “The Hake's property for some integrals over multidimensional intervals”, Real Analysis Exchange, 20:2 (1994/5), 622–630 | MR
[5] Henstock R., Lectures on the Theory of Integration, World Scientific, Singapore, 1988 | MR | Zbl