Title:
|
A note on perimeter and measure (English) |
Author:
|
Král, Josef |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
13 |
Issue:
|
1 |
Year:
|
1963 |
Pages:
|
139-147 |
Summary lang:
|
Russian |
. |
Category:
|
math |
. |
MSC:
|
28.99 |
idZBL:
|
Zbl 0116.27303 |
idMR:
|
MR0151579 |
DOI:
|
10.21136/CMJ.1963.100556 |
. |
Date available:
|
2008-06-09T13:17:23Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100556 |
. |
Reference:
|
[1] П. С. Александров: Комбинаторная топология.Москва-Ленинград 1947. Zbl 1153.11318 |
Reference:
|
[2] А. S. Besicovitch: On the definition and value of the area of a surface.Quart. Journal of Math. vol. XVI (1945), 86- 102. Zbl 0063.00350, MR 0014415, 10.1093/qmath/os-16.1.86 |
Reference:
|
[3] E. De Giorgi: Su una teoria generale della misura (r - l)-dirnensionale in uno spazio ad r dimensioni.Annali di Mat. pura ed applicata, ser. IV, tomo XXXVI (1954), 191-213. |
Reference:
|
[4] E. De Giorgi: Nuovi teoremi relativi alle misure (r - 1)-dirnensionali in uno spazio ad r dimensioni.Ricerche di Mat., vol. IV (1955), 95-113. MR 0074499 |
Reference:
|
[5] H. Federer: A note on the Gauss-Green theorem.Proc. Amer. Math. Soc. vol. 9 (1958), 447-451. Zbl 0087.27302, MR 0095245, 10.1090/S0002-9939-1958-0095245-2 |
Reference:
|
[6] W. H. Fleming: Functions whose partial derivatives are measures.Illinois Journal of Math.. vol. (1960), 452-478. Zbl 0151.05402, MR 0130338, 10.1215/ijm/1255456061 |
Reference:
|
[7] J. Král: Poznámka o množinách, jejichž charakteristická funkce má za derivaci zobecněnou míru.Časopis pro pěst. mat. 86 (1961), 178- 194. MR 0136697 |
Reference:
|
[8] И. Крал (J. Král): О лебеговой площади замкнутых поверхностей.Чех. мат. жур. 9 (84) 1959,470-471. MR 0111822 |
Reference:
|
[9] И. Крал (J. Král): О лебеговой площади простых замкнутых поверхностей.Чех. мат. жур. 12 (87) 1962,44-68. MR 0147620 |
Reference:
|
[10] K. Krickeberg: Distributionen, Funktionen beschränkter Variation und Lebesguescher Inhalt nichtparametrischer Flächen.Annali di Mat. pura ed applicata vol. ZL/K(1957), 105- 133. Zbl 0082.26702, MR 0095922 |
Reference:
|
[11] J. Mařík: The surface integral.Чех. мат. жур. 6 (81), 1956, 522-558. MR 0089891 |
Reference:
|
[12] J. Mařík: Poznamka o délce Jordanovy křivky.Časopis pro pěst. mat. 83 (1958), 91 - 96. |
Reference:
|
[13] R. L. Wilder: Topology of manifolds.1949. Zbl 0511.57001, MR 0029491 |
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