Intrinsic Ultracontractivity on Riemannian Manifolds with Infinite Volume Measures

Details Intrinsic Ultracontractivity on Riemannian Manifolds with Infinite Volume Measures Intrinsic Ultracontractivity on Riemannian Manifolds with Infinite Volume Measures

2007-12-19

arxiv.org/abs/0712.3144v1

Mathematics

Probability

Scientific paper

By establishing the intrinsic super-Poincar\'e inequality, some explicit
conditions are presented for diffusion semigroups on a non-compact complete
Riemannian manifold to be intrinsically ultracontractive. These conditions, as
well as the resulting uniform upper bounds on the intrinsic heat kernels, are
sharp for some concrete examples.

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