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Creators/Authors contains: "Sung, Chiung-Jue"

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  1. ; ; (, The Journal of Geometric Analysis)
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  2. ; ; (, Transactions of the American Mathematical Society)
    We develop Green’s function estimates for manifolds satisfying a weighted Poincaré inequality together with a compatible lower bound on the Ricci curvature. This estimate is then applied to establish existence and sharp estimates of solutions to the Poisson equation on such manifolds. As an application, a Liouville property for finite energy holomorphic functions is proven on a class of complete Kähler manifolds. Consequently, such Kähler manifolds must be connected at infinity. 
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