Revista Matemática Iberoamericana


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Volume 20, Issue 2, 2004, pp. 315–332
DOI: 10.4171/RMI/391

Published online: 2004-08-31

Polynomial growth harmonic functions on complete Riemannian manifolds

Yong Hah Lee[1]

(1) Ewha Womans University, Seoul, South Korea

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.

Keywords: Polynomial growth harmonic function, volume doubling condition, Poincaré inequality, mean value property

Lee Yong Hah: Polynomial growth harmonic functions on complete Riemannian manifolds. Rev. Mat. Iberoam. 20 (2004), 315-332. doi: 10.4171/RMI/391