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• W2950726889 abstract "In this paper we consider a complete connected noncompact Riemannian manifold M with Ricci curvature bounded from below and positive injectivity radius. Denote by L the Laplace-Beltrami operator on M. We assume that the kernel associated to the heat semigroup generated by L satisfies a mild decay condition at infinity. We prove that if m is a bounded holomorphic function in a suitable strip of the complex plane, and satisfies Mihlin-Hormander type conditions of appropriate order at infinity, then the operator m(L) extends to an operator of weak type 1. This partially extends a celebrated result of J. Cheeger, M. Gromov and M. Taylor, who proved similar results under much stronger curvature assumptions on M, but without any assumption on the decay of the heat kernel." @default.
• W2950726889 created "2019-06-27" @default.
• W2950726889 creator A5038991948 @default.
• W2950726889 creator A5075808301 @default.
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• W2950726889 date "2008-11-01" @default.
• W2950726889 modified "2023-09-26" @default.
• W2950726889 title "Estimates for functions of the Laplacian on manifolds with bounded geometry" @default.
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• W2950726889 hasPublicationYear "2008" @default.
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