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 |
. |
Category:
|
math |
. |
MSC:
|
26A39 |
MSC:
|
26B15 |
idZBL:
|
Zbl 0746.26009 |
idMR:
|
MR1084903 |
DOI:
|
10.21136/CMJ.1990.102421 |
. |
Date available:
|
2008-06-09T15:35:57Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102421 |
. |
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 |
. |