Harmonic functions of polynomial growth on singular spaces with nonnegative Ricci curvature
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Abstract:
In the present paper, we will derive the Liouville theorem and the finite dimension theorem for polynomial growth harmonic functions defined on Alexandrov spaces with nonnegative Ricci curvature in the sense of Kuwae-Shioya and Sturm-Lott-Villani.References
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Additional Information
- Bobo Hua
- Affiliation: School of Mathematical Sciences, Fudan University, Shanghai, 200433, People’s Republic of China
- MR Author ID: 865783
- Email: 071018011@fudan.edu.cn
- Received by editor(s): April 12, 2010
- Received by editor(s) in revised form: April 19, 2010, and June 6, 2010
- Published electronically: November 17, 2010
- Communicated by: Jianguo Cao
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 2191-2205
- MSC (2010): Primary 51F99, 31C05
- DOI: https://doi.org/10.1090/S0002-9939-2010-10635-4
- MathSciNet review: 2775397