Radial limits of superharmonic functions in the plane

• Autorzy: D. H. Armitage
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1994
• Tom: 67
• Numer: 2
• Strony: 245-252

Daty

wydano

1994

otrzymano

1993-10-15

Twórcy

autor

D. H. Armitage

• Department of Pure Mathematics, The Queen's University of Belfast Belfast, BT7 1NN, Northern Ireland

Bibliografia

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• [3] D. H. Armitage and M. Goldstein, Radial limiting behaviour of harmonic functions in cones, Complex Variables Theory Appl., to appear.
• [4] V. S. Azarin, Generalization of a theorem of Hayman, on subharmonic functions in an m-dimensional cone, Amer. Math. Soc. Transl. (2) 80 (1969), 119-138.
• [5] F. Bagemihl and W. Seidel, Some boundary properties of analytic functions, Math. Z. 61 (1954), 186-199.
• [6] M. Brelot, Éléments de la théorie classique du potentiel, Centre de documentation universitaire, Paris, 1965.
• [7] P. M. Gauthier, M. Goldstein and W. H. Ow, Uniform approximation on unbounded sets by harmonic functions with logarithmic singularities, Trans. Amer. Math. Soc. 261 (1980), 160-183.
• [8] P. M. Gauthier, M. Goldstein and W. H. Ow, Uniform approximation on closed sets by harmonic functions with Newtonian singularities, J. London Math. Soc. (2) 28 (1983), 71-82.
• [9] L. L. Helms, Introduction to Potential Theory, Wiley, New York, 1969.
• [10] W. J. Schneider, On the growth of entire functions along half rays, in: Entire Functions and Related Parts of Analysis, Proc. Sympos. Pure Math. 11, Amer. Math. Soc., Providence, R.I., 1968, 377-385.
• [11] M. Tsuji, Potential Theory in Modern Function Theory, Maruzen, Tokyo, 1959.