In this paper, we establish the Holder continuity of hyperbolic Poisson integral and hyperbolic Green integral, respectively. Firstly, we prove that the mapping u=Ghpsi} under the assumption that vertical bar psi(x)vertical bar = 0. Secondly, we show that if u=Phphi onto a domain with C1,alpha boundary and phi is an element of C(Sn-1,Rn), then u is Lipschitz continuous in B-n
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