Harmonic functions and averages on shells

Wolfhard Hansen1, Nikolaï Nadirashvili2
1Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Germany
2Department of Mathematics, The University of Chicago, Chicago, USA

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Tài liệu tham khảo

[Han96] W. Hansen,Restricted mean value property and harmonic functions inPotential Theory—ICPT 94, Proceedings of the International Conference on Potential Theory, Kouty Czech Republic, August 13–20, 1994 (J. Král et al., eds.) de Gruyter, Berlin-New York, 1996, pp. 67–90.

[Han99] W. Hansen,A Liouville property for spherical averages in the plane, Math. Ann. (to appear).

[HN93a] W. Hansen and N. Nadirashvili,A converse to the mean value theorem for harmonic functions, Acta Math.171 (1993), 139–163.

[HN93b] W. Hansen and N. Nadirashvili,Mean values and harmonic functions, Math. Ann.297 (1993), 147–156.

[HN94] W. Hansen and N. Nadirashvili,Littlewood's one circle problem, J. London Math. Soc.50 (1994), 349–360.

[HN95a] W. Hansen and N. Nadirashvili,Liouville's theorem and the restricted mean value property, J. Math. Pures Appl.74 (1995), 185–198.

[HN95b] W. Hansen and N. Nadirashvili, Restricted mean, value property on ℝ d , d≤2, Exposition. Math.13 (1995), 93–95.