Journal of Science of the Hiroshima University, Series A-I (Mathematics)

On a capacitability problem raised in connection with the Gauss variational problem

Maretsugu Yamasaki

Full-text: Open access

Article information

Source
J. Sci. Hiroshima Univ. Ser. A-I Math., Volume 30, Number 2 (1966), 227-244.

Dates
First available in Project Euclid: 21 March 2008

Permanent link to this document
https://projecteuclid.org/euclid.hmj/1206139111

Digital Object Identifier
doi:10.32917/hmj/1206139111

Mathematical Reviews number (MathSciNet)
MR0209506

Zentralblatt MATH identifier
0152.31601

Subjects
Primary: 31.22

Citation

Yamasaki, Maretsugu. On a capacitability problem raised in connection with the Gauss variational problem. J. Sci. Hiroshima Univ. Ser. A-I Math. 30 (1966), no. 2, 227--244. doi:10.32917/hmj/1206139111. https://projecteuclid.org/euclid.hmj/1206139111


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References

  • [1] H. Gartan: Therie gnrale du balayage en potentiel newtonien, Ann. Univ. Grenoble, 22 (1946), pp. 221-280.
  • [2] G. Choquet: Theory of capacities, Ann. Inst. Fourier, 5 (1955), pp. 131-295.
  • [3] B. Fuglede: On the theory of potentials in locally compact spaces, Acta Math., 103 (1960), pp. 139-215.
  • [4] M. Kishi: Capacitability of analytic sets, Nagoya Math. J., 16 (1960), pp. 91-109.
  • [5] S. Ogawa: Sur le balayage pour des ensembles analytiques, J. Math. Osaka City Univ., 14 (1963), pp. 65-87.
  • [6] S. Ogawa: Sur le balayage pour des ensembles quelconques et la balayabilite, Osaka J. Math., 2 (1965), pp. 217-246.
  • [7] M. Ohtsuka: On potentials in locally compact spaces, J. Sci. Hiroshima Univ. Ser. A-I Math., 25 (1961), pp. 135-352.
  • [8] M. Yamasaki: Note on Kishi's theorem for capacitability, Sci. Hiroshima Univ. Ser. A-I 30 (1966), pp. 217-226.