Analytic approaches and harmonic functions on Alexandrov spaces with nonnegative Ricci curvature

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:390

Article

Jiao, Zhenhua

关键词: Harmonic function;    Alexandrov space;    Nonnegative Ricci curvature;   

DOI  :  10.1016/j.jmaa.2012.01.043

来源: Elsevier

【 摘 要 】

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. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free