Proceedings of the Japan Academy

Boundary behaviour of functions harmonic in the unit ball

Shinji Yamashita

Full-text: Open access

Article information

Source
Proc. Japan Acad., Volume 46, Number 6 (1970), 490-493.

Dates
First available in Project Euclid: 20 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195520261

Digital Object Identifier
doi:10.3792/pja/1195520261

Mathematical Reviews number (MathSciNet)
MR0284604

Zentralblatt MATH identifier
0225.31009

Subjects
Primary: 31.11
Secondary: 30.00

Citation

Yamashita, Shinji. Boundary behaviour of functions harmonic in the unit ball. Proc. Japan Acad. 46 (1970), no. 6, 490--493. doi:10.3792/pja/1195520261. https://projecteuclid.org/euclid.pja/1195520261


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References

  • [1] E. F. Collingwood: Cluster set theorems for arbitrary functions with applications to function theory. Ann. Acad. Sci. Fenn., No. 336/8, 1-15 (1963).
  • [2] E. F. Collingwood and A. J. Lohwater: The Theory of Cluster Sets. Cambridge Univ. Press, Cambridge (1966).
  • [3] R. A. Hunt and R. L. Wheeden: On the boundary values of harmonic functions. Trans. Amer. Math. Soc, 132, 307-322 (1968).
  • [4] D. Kellogg: Foundations of Potential Theory. Springer-Verlag, Berlin-Heidelberg-New York (1967).
  • [5] K. E. Meier: Uber die Randwerte der meromorphen Funktionen. Math. Ann., 142, 328-344 (1961).
  • [6] K. Noshiro: Cluster Sets. Springer-Verlag, Berlin-Gottingen-Heidelberg (1960).
  • [7] I. I. Priwalow: Randeigenschaften analytischer Funktionen. Deutscher Verlag der Wiss., Berlin (1956).
  • [8] M. Tsuji: Potential Theory in Modern Function Theory. Maruzen Co., Tokyo (1959).