Proceedings of the American Mathematical Society

Author(s): Michel Marias
Journal: Proc. Amer. Math. Soc. 130 (2002), 1533-1537.
MSC (1991): Primary 22E25, 22E30, 43A80
Posted: October 5, 2001
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Abstract: We prove L $^{p}$ estimates for functions of Markov operators on a discrete measure space of superpolynomial volume growth.

1.: G. Alexopoulos, On the mean distance of random walks on groups, Bull. Sci. Math., 111, (1987), 189-199. MR 88j:60117
2.: G. Alexopoulos, Spectral multipliers on discrete groups, Bull. London Math. Soc., to appear.
3.: T. K. Carne, A transmutation formula for Markov chains, Bull. Sci. Math., 109, (1985), 399-405. MR 87m:60142
4.: J. Cheeger, M. Gromov, M. Taylor, Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds, J. Diff. Geom. 17, (1982), 15-53. MR 84b:58109
5.: R. I. Grigorchuck, Degrees of growth of finitely generated groups and the theory of invariant means, Math. USSR-Izv., 25, (1985), 259-300.
6.: W. Hebisch, L. Saloff-Coste, Gaussian estimates for Markov chains and random walks on groups, Annals of Probability, 21 , (1993), 673-709. MR 94m:60144
7.: M. Taylor, $L^{p}$ estimates on functions of the Laplace operator, Duke Mathematical Journal, 58, (1989), 773-793. MR 91d:58253
8.: N. Th. Varopoulos, Long range estimates for Markov chains, Bull. Sci. Math., 109, (1985), 225-252. MR 87j:60100

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