Abstract
In this paper, we give a sharp estimate on the dimension of the space of polynomial growth harmonic functions with fixed degree on a complete Riemannian manifold, under various assumptions.
Citation
Yong Hah Lee. "Polynomial growth harmonic functions on complete Riemannian manifolds." Rev. Mat. Iberoamericana 20 (2) 315 - 332, June, 2004.
Information
Published: June, 2004
First available in Project Euclid: 17 June 2004
zbMATH: 1059.53036
MathSciNet: MR2073122
Subjects:
Primary:
53C21
Secondary:
31C05
Keywords:
mean value property
,
Poincaré inequality
,
polynomial growth harmonic function
,
volume doubling condition
Rights: Copyright © 2004 Departamento de Matemáticas, Universidad Autónoma de Madrid
