The Spaces ∧_αof Lipschitz Continuous Functions on Complete Riemannian Manifold with Nonnegative Curvature

We consider the spaces∧_αof Lipschitz continuous functions on completeRiemannian manifold with nonnegative Ricci curvature.We first give a characeriza-tion of f∈∧_αin terms of its Poisson integral u(x,t),then we show that the BesselPotential J_βmaPPs∧_αisomorphically onto∧_(α+β).