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This paper gives growth properties of Green-Sch potentials at infinity in a cone, which generalizes results obtained by Qiao-Deng. The proof is based on the fact that the estimations of Green-Sch potentials with measures are connected with a kind of densities of the measures modified by the measures.
In this paper, a solution of the Dirichlet problem in the upper half-plane is constructed by the generalized Dirichlet integral with a fast growing continuous boundary function. MSC: 31B05, 31B10.
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