Local Lower Bounds on Heat Kernels |
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| Authors: | A.F.M. ter Elst Derek W. Robinson |
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| Affiliation: | (1) Department of Mathematics and Computing Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands;(2) Centre for Mathematics and its Applications, School of Mathematical Sciences, Australian National University, Canberra, ACT, 0200, Australia |
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| Abstract: | We analyze convolution semigroups on a regular measure space which satisfies the local doubling property. We assume the kernels are bounded and symmetric with the characteristic small-time, volume-dependent, singularity. Then, using a weak conservation property, we deduce local lower bounds with a comparable singularity.Applications are given to a wide range of subelliptic and strongly elliptic self-adjoint, or near self-adjoint, operators on Lie groups. |
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| Keywords: | heat kernels lower bounds |
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