An extremal property of some capacitary measures in $E_{n}$
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- by Burgess Davis and John L. Lewis PDF
- Proc. Amer. Math. Soc. 39 (1973), 520-524 Request permission
Abstract:
The capacitary measure on an arc of the circle is known (via conformai mapping) to be that measure of a class of measures which has the largest potential at certain points of the plane. Here it is shown that the analogous result is true in ${E_n}$.References
- L. L. Helms, Introduction to potential theory, Pure and Applied Mathematics, Vol. XXII, Wiley-Interscience [A division of John Wiley & Sons, Inc.], New York-London-Sydney, 1969. MR 0261018 J. L. Lewis, A potential theory problem in three space (to appear).
- T. J. Suffridge, A coefficient problem for a class of univalent functions, Michigan Math. J. 16 (1969), 33–42. MR 240297, DOI 10.1307/mmj/1029000163
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 39 (1973), 520-524
- MSC: Primary 31B15
- DOI: https://doi.org/10.1090/S0002-9939-1973-0320347-0
- MathSciNet review: 0320347