Author： Taylor Michael
Publisher： Taylor & Francis Ltd
ISSN： 0360-5302
Source： Communications in Partial Differential Equations, Vol.34, Iss.9, 2009-09, pp. : 1114-1126
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Abstract
Recent work of G. Mauceri, S. Meda, and M. Vallarino produces Lp estimates on a natural class of functions of the Laplace-Beltrami operator on a Riemannian manifold M, under fairly weak geometrical hypotheses, namely lower bounds on its injectivity radius and Ricci tensor, but with an auxiliary decay hypothesis on the heat semigroup. We sharpen this result by removing the decay hypothesis.
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