Computational Methods and Function Theory 6 (2006), No. 1, 109--144
Copyright Heldermann Verlag 2006
John L. Lewis
john@ms.uky.edu , Mathematics Department, University of Kentucky Lexington, Kentucky 40506-0027, U.S.A.
In this paper we continue our study of the dimension of a measure associated with a positive p-harmonic function which vanishes on the boundary of a quasicircle. Under various assumptions on the quasicircle, we obtain analogues of well known theorems for the dimension of harmonic measure due to Makarov.
Keywords: p-harmonic measure, p-Laplacian, Hausdorff measure, dimension of a measure.
MSC 2000: Primary 35J65; Secondary 31A15.
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