Polynomial growth harmonic functions on complete Riemannian manifolds
Lee, Yong Hah
Rev. Mat. Iberoamericana, Tome 20 (2004) no. 1, p. 315-332 / Harvested from Project Euclid
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.
Publié le : 2004-06-14
Classification:  polynomial growth harmonic function,  volume doubling condition,  Poincaré inequality,  mean value property,  53C21,  31C05
@article{1087482017,
     author = {Lee, Yong Hah},
     title = {Polynomial growth harmonic functions on complete
Riemannian manifolds},
     journal = {Rev. Mat. Iberoamericana},
     volume = {20},
     number = {1},
     year = {2004},
     pages = { 315-332},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1087482017}
}
Lee, Yong Hah. Polynomial growth harmonic functions on complete
Riemannian manifolds. Rev. Mat. Iberoamericana, Tome 20 (2004) no. 1, pp.  315-332. http://gdmltest.u-ga.fr/item/1087482017/