| Title:
|
Poznámka o množinách, jejichž charakteristická funkce má za parciální derivaci zobecněnou míru (Czech) |
| Title:
|
Note on sets whose characteristic functions have signed measures for their derivatives (English) |
| Author:
|
Král, Josef |
| Language:
|
Czech |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
86 |
| Issue:
|
2 |
| Year:
|
1961 |
| Pages:
|
178-194 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
28-80 |
| idZBL:
|
Zbl 0099.04304 |
| idMR:
|
MR0136697 |
| DOI:
|
10.21136/CPM.1961.108206 |
| . |
| Date available:
|
2009-09-23T07:16:11Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108206 |
| . |
| Reference:
|
[1] R. Cacciopoli: Misure e integrazione sugli insiemi dimensionalmente orientati.Atti Acc. Naz. Lincei ser. VIII, vol. XII (1952), fasc. 1 -2. |
| Reference:
|
[2] E. De Giorgi: Su una teoria generale della misura (r - 1)-dimensionale in uno spazio ad r dimensioni.Annali di Mat. Pura Appl. (4), 36 (1954), 191-213. Zbl 0055.28504, MR 0062214 |
| Reference:
|
[3] E. De Giorgi: Definizione ed espressione analitica del perimetro di un insieme.Atti Acc. Naz. Lincei ser. VIII, vol. XIV (1953), fasc. 3, 390-393. Zbl 0051.29403, MR 0056066 |
| Reference:
|
[4] E. De Giorgi: Nuovi teoremi relativi ale misure (r -1)-dimensionali in uno spazio ad r dimensioni.Ricerche di Mat. 4 (1955), 95-113. MR 0074499 |
| Reference:
|
[5] H. Federer: An analytic characterisation of distributions whose partial derivatives are representable by measures.Bull. Amer. Math. Soc. 1954, Abstract No 407t. |
| Reference:
|
[6] H. Federer: A note on the Gauss-Green theorem.Proc. Amer. Math. Soc. 9 (1958), 447-451. Zbl 0087.27302, MR 0095245 |
| Reference:
|
[7] W. H. Fleming: Functions with generalized gradient and generalized surfaces.Annali di Mat. Pura Appl. ser. 4, vol. 44 (1957), 93-104. Zbl 0082.26701, MR 0095923 |
| Reference:
|
[8] W. H. Fleming: Functions whose partial derivatives are measures.Bull. Amer. Math. Soc. vol. 64, 1958, 364-365. Zbl 0092.05401, MR 0099404 |
| Reference:
|
[9] И. М. Гельфанд Г. Е. Шилов: Обобщенные функции и действия над ними.Москва 1958. Zbl 1225.70002 |
| Reference:
|
[10] И. М. Гельфанд Г. Е. Шилов: Пространства основных и обобщенных функций.Москва 1958. Zbl 1225.70002 |
| Reference:
|
[11] V. Jarník: Integrální počet II.Praha 1955. |
| Reference:
|
[12] K. Krickeberg: Distributions and Lebesgue area.Bull. Amer. Math. Soc. 63 (1957), No 4, Abstract No 437. |
| Reference:
|
[13] K. Krickeberg: Distributionen, Funktionen beschränkter Variation und Lebesguescher Inhalt nichtparametrischer Flächen.Annali di Mat. Pura Appl. (4) 44 (1957), 92, 105-133. Zbl 0082.26702, MR 0095922 |
| Reference:
|
[14] J. Mařík: Plošný integrál.Čas. pro pěst, mat. 81 (1956), 79-82. |
| Reference:
|
[15] J. Mařík: The surface integral.Чех. мат. журн. 6 (81), 1956, 522-558. MR 0089891 |
| Reference:
|
[16] Chr. Y. Pauc: Considerations sur les gradients généralisés de G. Fichera et E. De Giorgi.Annali di Mat. Pura Appl. (4) 40 (1955), 183-L 192. Zbl 0066.30001, MR 0078421 |
| Reference:
|
[17] Chr. Y. Pauc: Functions with generalized gradients in the theory of cell functions.Annali di Mat. Pura Appl. (4) 44 (1957), 92, 135-152. Zbl 0082.26801, MR 0095924 |
| Reference:
|
[18] S. Saks: Theory of the integral.New York. Zbl 0017.30004 |
| Reference:
|
[19] E. De Giorgi: Sulla proprieta isoperimetrica dell’ ipersfera nella classe degli insiemi aventi frontiera orientata di misura finita.Atti Accad. Naz. Lincei Mem. Cl. Sci. Fis. Mat. e Natur., 1958, Sez. 1, 5, No 2, 33-44. MR 0098331 |
| Reference:
|
[20] W. H. Fleming: Functions whose partial derivatives are measures.Illinois Journal of Math, vol. 4, No 3 (1960), 452-478. Zbl 0151.05402, MR 0130338 |
| . |
