The p-harmonic boundary extension conjecture
Let 1<p∈R1 < p \in \mathbb{R}1<p∈R and let XXX be a metric measure space. Let Δp(X)\Delta_p(X)Δp(X) denote the ppp-harmonic boundary of XXX, and let BDp(X)BD^p(X)BDp(X) and HBDp(X)HBD^p(X)HBDp(X) denote the bounded Roy…