Functional approach to the Brelot-Keldych theorem

Jaroslav Lukeš

Czechoslovak Mathematical Journal (1977)

  • Volume: 27, Issue: 4, page 609-616
  • ISSN: 0011-4642

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Lukeš, Jaroslav. "Functional approach to the Brelot-Keldych theorem." Czechoslovak Mathematical Journal 27.4 (1977): 609-616. <http://eudml.org/doc/13031>.

@article{Lukeš1977,
author = {Lukeš, Jaroslav},
journal = {Czechoslovak Mathematical Journal},
keywords = {Brelot-Keidych; Dirichlet Problem; P-Harmonic Space},
language = {eng},
number = {4},
pages = {609-616},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Functional approach to the Brelot-Keldych theorem},
url = {http://eudml.org/doc/13031},
volume = {27},
year = {1977},
}

TY - JOUR
AU - Lukeš, Jaroslav
TI - Functional approach to the Brelot-Keldych theorem
JO - Czechoslovak Mathematical Journal
PY - 1977
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 27
IS - 4
SP - 609
EP - 616
LA - eng
KW - Brelot-Keidych; Dirichlet Problem; P-Harmonic Space
UR - http://eudml.org/doc/13031
ER -

References

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  1. H. Bauer, 10.1007/BFb0075363, Lecture Notes in Mathematics, vol. 22, Springer-Verlag, Berlin-New York, 1966. (1966) Zbl0142.38402MR0210916DOI10.1007/BFb0075363
  2. J. Bliedtner, W. Hansen, 10.1007/BF01390188, Invent. Math. 29 (1975), 83-110. (1975) Zbl0308.31011MR0387630DOI10.1007/BF01390188
  3. M. Brelot, 10.1007/BF02786852, J. Analyse Math. 8 (1960/61), 273-288. (1960) Zbl0111.09604MR0125245DOI10.1007/BF02786852
  4. С. Constantinescu, A. Cornea, Potential Theory on Harmonic Spaces, Springer-Verlag, Berlin-New York, 1972. (1972) Zbl0248.31011MR0419799
  5. E. G. Effros, J. L. Kazdan, 10.1016/0022-0396(70)90040-9, J. Diff. Equations 8 (1970), 95-134. (1970) Zbl0255.46018MR0259577DOI10.1016/0022-0396(70)90040-9
  6. M. V. Keldych, On the solvability and stability of the Dirichlet problem, (russian), Usp. Mat. Nauk SSSR 8 (1941), 171-231. (1941) MR0005249
  7. J. L. Kelley I. Namioka, co-authors, Linear Topological Spaces, D. Van Nostrand Co. Inc., Princeton, N. J., 1963. (1963) Zbl0318.46001MR0166578
  8. N. S. Landkoff, Foundations of modern potential theory, Berlin, Springer-Verlag, 1971. (1971) MR0350027
  9. J. Lukeš, Principal solution of the Dirichlet problem in potential theory, Comm. Math. Univ. Carolinae 14, 4 (1973), 773-778. (1973) Zbl0265.31016MR0344504
  10. J. Lukeš, Théorème de Keldych dans la théorie axiomatique de Bauer des fonctions harmoniques, Czech. Math. Journal 24 (1974), 114-125. (1974) Zbl0308.31010MR0350046

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