| Title:
|
Continuity and maximum principle for potentials of signed measures (English) |
| Author:
|
Netuka, Ivan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
25 |
| Issue:
|
2 |
| Year:
|
1975 |
| Pages:
|
309-316 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
31D05 |
| idZBL:
|
Zbl 0309.31019 |
| idMR:
|
MR0382690 |
| DOI:
|
10.21136/CMJ.1975.101323 |
| . |
| Date available:
|
2008-06-09T14:12:55Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101323 |
| . |
| Reference:
|
[1] M. G. Arsove: Functions representable as differences of subharmonic functions.Trans. Amer. Math. Soc. 75 (1953), 327-365. Zbl 0052.33301, MR 0059416, 10.1090/S0002-9947-1953-0059416-3 |
| Reference:
|
[2] H. Bauer: Harmonische Räume und ihre Potentialtheorie.Lecture Notes in Math. 22, Springer-Verlag, Berlin, 1966. Zbl 0142.38402, MR 0210916 |
| Reference:
|
[3] N. Boboc, P. Mustaţä: Espaces harmoniques associés aux opérateurs différentiels linéaires du second ordre de type elliptique.Lecture Notes in Math. 68, Springer-Verlag, 1968. MR 0241681 |
| Reference:
|
[4] M. Brelot: Sur l'allure des fonctions harmoniques et sousharmoniques à la frontière.Math. Nachr. 4 (1950-51), 298-307. MR 0041989 |
| Reference:
|
[5] M. Brelot: Lectures on potential theory.Tata Institute of Fundamental Research, Bombay 1967. Zbl 0257.31001, MR 0259146 |
| Reference:
|
[6] C. Constantinescu, A. Cornea: Examples in the theory of harmonic spaces.In: Seminar über Potentialtheorie, p. 161 - 171, Lecture Notes in Math. 69, Springer-Verlag, Berlin, 1968. MR 0237809 |
| Reference:
|
[7] С. Constantinescu, A. Cornea: Potential theory on harmonic spaces.Springer-Verlag, Berlin, 1972. Zbl 0248.31011, MR 0419799 |
| Reference:
|
[8] G. C. Evans: On potentials of positive mass I.Trans. Amer. Math. Soc. 37 (1935), 226-253. Zbl 0011.21201, MR 1501785 |
| Reference:
|
[9] O. Frostman: Potentiel d'équilibre et capacité des ensembles avec quelques applications à la théorie des fonctions.Medd. Lunds Univ. Math. Sem. 3 (1935), 1 - 118. Zbl 0013.06302 |
| Reference:
|
[10] В. Fuglede: Finely harmonie functions.Lecture Notes in Math. 289, Springer-Verlag, Berlin, 1972. |
| Reference:
|
[11] L. L. Helms: Introduction to potential theory.Wiley-Interscience, New York, 1969. Zbl 0188.17203, MR 0261018 |
| Reference:
|
[12] R.-M. Hervé: Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel.Ann. Inst. Fourier 12 (1962), 415-571. MR 0139756, 10.5802/aif.125 |
| Reference:
|
[13] R.-M. Hervé: Quelques propriétés des fonctions surharmoniques associées à une equation uniformément elliptique de la forme $$Lu=-\sum\sb i{\partial\over \partial x\sb i}\left(\sum\sb j {\partial u\over \partial x\sb j}\right)=0.$$.Ann. Inst. Fourier 15 (1965), 215-224. MR 0188471, 10.5802/aif.214 |
| Reference:
|
[14] R.-M. Hervé, M. Hervé: Les fonctions surharmoniques associées à un opérateur elliptique du second ordre à coefficients discontinues.Ann. Inst. Fourier 19 (1969), 305-359. MR 0261027, 10.5802/aif.320 |
| Reference:
|
[15] J. Köhn, M. Sieveking: Reguläre und extremale Randpunkte in der Potentialtheorie.Rev. Roumaine Math. Pures Appl. 12 (1967), 1489-1502. MR 0232960 |
| Reference:
|
[16] A. J. Maria: The potential of a positive mass and the weight function of Wiener.Proc. Nat. Acad. Sci. U.S.A. 20 (1934), 485-489. Zbl 0009.35804, 10.1073/pnas.20.8.485 |
| Reference:
|
[17] I. Netuka: Some properties of potentials of signed measures.Comment. Math. Univ. Carolinae 15 (1974), 573-575. Zbl 0289.31009, MR 0352503 |
| Reference:
|
[18] W. Rudin: Real and complex analysis.McGraw-Hill, New York, 1974. Zbl 0278.26001, MR 0344043 |
| Reference:
|
[19] F. Vasilesco: Sur la continuité du potentiel à travers les masses et la démonstration d'un lemme de Kellog.C.R. Acad. Sci. Paris 200 (1935), 1173-1174. |
| . |
