Existence of Dirichlet infinite harmonic measures on the unit disc

Mitsuru Nakai · Nagoya Mathematical Journal · 1995

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.

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