L-harmonic functions with polynomial growth of a fixed rate

• 作 者: ChaoHui Zhou (1) ZhiHua Che
• 机 构: 1.DepartmentofMathematics
• 出 处: 中国科学：数学英文版
• 发表日期: 2009年12期
• 关键词: L-harmonic function SYMMETRIC diffusion operator Bakery-Emery RICCI CURVATURE L-
• 基金项目: supported by National Natural Science Foundation of China(Grant No.10571135)

Yau made the following conjecture:For a complete noncompact manifold with nonnegative Ricci curvature the space of harmonic functions with polynomial growth of a fixed rate is finite dimensional.we extend the result on the Laplace operator to that on the