Intrinsic ultracontractivity on Riemannian manifolds with infinite volume measures |
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| Authors: | WANG FengYu School of Mathematical Sciences Beijing Normal University Beijing China |
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| Affiliation: | WANG FengYu 1,2 1 School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China,2 Department of Mathematics,Swansea University,Singleton Park,Swansea SA2 8PP,UK |
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| Abstract: | 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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| Keywords: | intrinsic ultracontractivity intrinsic super-Poincar'e inequality Riemannian manifold diffusion semigroup |
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