On $p$-Harmonic Measures in Half Spaces

J. G. Llorente, J. J. Manfredi, W. C. Troy +1

For all $1<p<\infty$ and $N\ge 2$ we prove that there is a constant $\alpha (p,N)>0$ such that the $p$-harmonic measure in ${\mathbb{R}}_{+}^N$ of a ball of radius $0<\delta \le 1$ in ${\mathbb{R}}^{N-1}$ is bou…