Integral representations and continuous projectors in certain spaces of harmonic functions

The classes $A_\alpha^p$ of harmonic functions on the unit ball of $\mathbf R^n$ are studied. An integral representation theorem is obtained for the class $A_\alpha^p$, and theorems on the existence of a bounded projection from the space $L_\alpha^p$ to $A_\alpha^p$ are proved.
Bibliography: 14 titles.