Heat kernel and Green function estimates on noncompact symmetric spaces II
Résumé
In a recent joint work with the same title, we have obtained optimal upper and lower bounds for the heat kernel $h_t(x,y)$ on a noncompact symmetric space $G/K$, under the assumption that $d(x,y)=O(1+t)$. In this article, we reprove our main result in a simpler way, using Harnack's inequality and avoiding this way hard analysis along faces.
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