Analytic approaches and harmonic functions on Alexandrov spaces with nonnegative Ricci curvature |
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| Authors: | Zhenhua Jiao |
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| Affiliation: | Institute of Mathematics, Hangzhou Dianzi University, Hangzhou, Zhejiang, 310018, PR China |
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| Abstract: | In this paper, the author gets a sharp dimension estimate of the space of harmonic functions with polynomial growth of a fixed order on Alexandrov spaces, which extends the result of Colding and Minicozzi from Riemannian manifolds to Alexandrov spaces. |
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