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Title: Hake's property of a multidimensional generalized Riemann integral (English)
Author: Mawhin, Jean
Author: Pfeffer, Washek Frank
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 40
Issue: 4
Year: 1990
Pages: 690-694
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Category: math
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MSC: 26A39
MSC: 26B15
idZBL: Zbl 0746.26009
idMR: MR1084903
DOI: 10.21136/CMJ.1990.102421
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Date available: 2008-06-09T15:35:57Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102421
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Reference: [1] H. Federer: Geometrie Measure Theory.Springer-Verlag, New York, 1969. MR 0257325
Reference: [2] H. Hake: Über de la Vallée Poussins Ober- und Unterfunktionen einfacher Integrale und die Integraldefinition von Perron.Math. Ann. 83 (1921), 119-142. MR 1512004, 10.1007/BF01464233
Reference: [3] R. Henstock: Definitions of Riemann type of the variational integrals.Proc. London Math. Soc. 11 (1961), 402-418. Zbl 0099.27402, MR 0132147
Reference: [4] K. Karták: K theorii vicerozměrného integrálu.Časopis pro pěst. mat. 80 (1955), 400-414. MR 0089249
Reference: [5] J. Kurzweil: Generalized ordinary differential equations and continuous dependence on a parameter.Czechoslovak Math. J. 7 (1957), 418-446. Zbl 0090.30002, MR 0111875
Reference: [6] W. F. Pfeffer: The divergence theorem.Trans. American Math. Soc. 295 (1986), 665-685. Zbl 0596.26007, MR 0833702, 10.1090/S0002-9947-1986-0833702-0
Reference: [7] W. F.Pfeffer: A note on a generalized Riemann integral.Proc. American Math. Soc. 295 (1988), 1161-1166. MR 0955000, 10.1090/S0002-9939-1988-0955000-4
Reference: [8] S. Saks: Theory of the Integral.Dover Publications, New York, 1964. MR 0167578
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