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Integral means of subharmonic functions

Published online by Cambridge University Press:  24 October 2008

A. F. Beardon
A. F. Beardon
Affiliation:
St Catharine's College, Cambridge
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Extract

If u is subharmonic in some open subset of Euclidean space, RN (N ≥ 1), which contains the ball |x| ≤ ρ and if S(r) and B(r) denote the mean values of u taken over the sphere |x| = r and the ball |x| ≤ r respectively (0 ≤ r ≤ ρ) then, ((2), p. 196),

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 69 , Issue 1 , January 1971 , pp. 151 - 152
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

REFERENCES

(1)Boas, R. P.A primer of real functions (Math. Assoc. of America, 1960).Google Scholar
(2)Brelot, M.Éléments de la théorie classique du potential. Les cours de Sorbonne (1965).Google Scholar
(3)Rudin, W.Real and complex analysis (McGraw-Hill, 1966).Google Scholar