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Existence of Dirichlet infinite harmonic measures on the unit disc

Published online by Cambridge University Press:  22 January 2016

Mitsuru Nakai
Mitsuru Nakai*
Affiliation:
Department of Mathematics, Nagoya Institute of Technology, Gokiso, Showa, Nagoya 466Japan
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The primary purpose of this paper is to give an affirmative answer to a problem posed by Ohtsuka [13] whether there exists a p-harmonic measure on the unit disc in the 2-dimensional Euclidean space R2 with an infinite p-Dirichlet integral for the exponent 1 < p < 2.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 138 , June 1995 , pp. 141 - 167
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1995

References

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