Positive Toeplitz Operators from a Weighted Harmonic Bloch Space into Another

We define positive Toeplitz operators between weighted harmonic Bloch spaces $b_{\alpha }^{\mathrm{\infty }}$ on the unit ball of ${\mathbb{R}}^n$ for the full range of parameter $\alpha \in \mathbb{R}$. We give characterizations of bounded and compact Toeplitz operators taking one weighted harmonic Bloch space into a-not-her in terms of Carleson and vanishing Carleson measures.