Harmonic functions of polynomial growth on singular spaces with nonnegative Ricci curvature

Hua, Bobo

doi:10.1090/S0002-9939-2010-10635-4

Harmonic functions of polynomial growth on singular spaces with nonnegative Ricci curvature
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Proc. Amer. Math. Soc. 139 (2011), 2191-2205 Request permission

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.

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