On p-harmonic measures in half-spaces

For all \(1 0\) 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 bounded above and below by a constant times \(\delta ^{\alpha (p.N)}\). We provide explicit estimates for the exponent \(\alpha (p,N)\).