Heat kernel estimates and Riesz transforms on some Riemannian covering manifolds
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Description
Consider a Riemannian manifold M which is a Galois covering of a compact manifold, with nilpotent deck transformation group G. For the Laplace operator on M, we prove a precise estimate for the gradient of the heat kernel, and show that the Riesz transforms are bounded in LP(M), 1 < p < ∞. We also obtain estimates for discrete oscillations of the heat kernel, and boundedness of discrete Riesz transform operators, which are defined using the action of G on M.
Collections | ANU Research Publications |
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Date published: | 2004 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/82548 |
Source: | Mathematische Zeitschrift |
DOI: | 10.1007/s00209-003-0646-4 |
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01_Dungey_Heat_kernel_estimates_and_2004.pdf | 236.41 kB | Adobe PDF | Request a copy |
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