On properties of the solutions to the $\alpha$-harmonic equation

Peijin Li, Antti Rasila, Zhi-Gang Wang

The aim of this paper is to establish properties of the solutions to the $\alpha$-harmonic equations: ${\Delta }_{\alpha }(f(z))=\partial z[(1-{|z|}^2{)}^{-\alpha }\overline{\partial }zf](z)=g(z)$, wher…