| Title:
|
Functional approach to the Brelot-Keldych theorem (English) |
| Author:
|
Lukeš, Jaroslav |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
27 |
| Issue:
|
4 |
| Year:
|
1977 |
| Pages:
|
609-616 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
31D05 |
| idZBL:
|
Zbl 0391.31006 |
| idMR:
|
MR0588523 |
| DOI:
|
10.21136/CMJ.1977.101498 |
| . |
| Date available:
|
2008-06-09T14:25:52Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101498 |
| . |
| Reference:
|
[1] H. Bauer: Harmonische Räume und ihre Potentialtheorie.Lecture Notes in Mathematics, vol. 22, Springer-Verlag, Berlin-New York, 1966. Zbl 0142.38402, MR 0210916, 10.1007/BFb0075363 |
| Reference:
|
[2] J. Bliedtner, W. Hansen: Simplicial Cones in Potential Theory.Invent. Math. 29 (1975), 83-110. Zbl 0308.31011, MR 0387630, 10.1007/BF01390188 |
| Reference:
|
[3] M. Brelot: Sur un théorème de prolongement fonctionnel de Keldych concernant le problème de Dirichlet.J. Analyse Math. 8 (1960/61), 273-288. MR 0125245, 10.1007/BF02786852 |
| Reference:
|
[4] С. Constantinescu, A. Cornea: Potential Theory on Harmonic Spaces.Springer-Verlag, Berlin-New York, 1972. Zbl 0248.31011, MR 0419799 |
| Reference:
|
[5] E. G. Effros, J. L. Kazdan: Applications of Choquet simplexes to elliptic and parabolic boundary value problems.J. Diff. Equations 8 (1970), 95-134. Zbl 0255.46018, MR 0259577, 10.1016/0022-0396(70)90040-9 |
| Reference:
|
[6] M. V. Keldych: On the solvability and stability of the Dirichlet problem.(russian), Usp. Mat. Nauk SSSR 8 (1941), 171-231. MR 0005249 |
| Reference:
|
[7] J. L. Kelley I. Namioka, co-authors: Linear Topological Spaces.D. Van Nostrand Co. Inc., Princeton, N. J., 1963. MR 0166578 |
| Reference:
|
[8] N. S. Landkoff: Foundations of modern potential theory.Berlin, Springer-Verlag, 1971. MR 0350027 |
| Reference:
|
[9] J. Lukeš: Principal solution of the Dirichlet problem in potential theory.Comm. Math. Univ. Carolinae 14, 4 (1973), 773-778. MR 0344504 |
| Reference:
|
[10] J. Lukeš: Théorème de Keldych dans la théorie axiomatique de Bauer des fonctions harmoniques.Czech. Math. Journal 24 (1974), 114-125. MR 0350046 |
| . |
