L p and mean value properties of subharmonic functions on Riemannian manifolds

Anderson, M., The Dirichlet problem at infinity for manifolds of negative curvature. To appear inJ. Differential Geom. Anderson, M. & Schoen, R., Preprint. Cheeger, J., Gromov, M. &Taylor, M., Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds.J. Differential Geom., 17 (1983), 15–53. Cheng, S. Y. &Yau, S. T., Differential equations on Riemannian manifolds and their geometric applications.Comm. Pure Appl. Math., 28 (1975), 333–354. Chung, L. O., Existence of harmonicL 1 functions in complete Riemannian manifolds. Unpublished. Garnett, L., Foliations, the ergodic theorem and brownian motion. Preprint. Greene, R. E. &Wu, H., Integrals of subharmonic functions on manifolds of nonnegative curvature.Invent. Math., 27 (1974), 265–298. —,Function theory on manifolds which possess a pole. Lecture Notes in Mathematics, 699. Springer-Verlag, Berlin-Heidelberg-New York (1979). Karp, L. & Li, P., The heat equation on complete Riemannian manifolds. Preprint. Li, P. &Yau, S. T., Estimates of eigenvalues of a compact Riemannian manifold.Proc. Symp. Pure Math., 36 (1980), 205–239. Strichartz, R., Analysis of the Laplacian on a complete Riemannian manifold.J. Funct. Anal., 52 (1983), 48–79. Sullivan, D., Preprint. Wu, H., On the volume of a noncompact manifold.Duke Math. J., 49 (1982), 71–78. Yau, S. T., Harmonic functions on complete Riemannian manifolds.Comm. Pure Appl. Math., 28 (1975), 201–228. —, Some function-theoretic properties of complete Riemannian manifolds and their applications to geometry.Indiana Univ. Math. J., 25 (1976), 659–670.