Functional calculus of operators with heat kernel bounds on non-doubling manifolds with ends

The Anh Bui, Xuan Thinh Duong, Ji Li +1

Let $\Delta$ be the Laplace--Beltrami operator acting on a non-doubling manifold with two ends ${\mathbb{R}}^m♯{\mathcal{R}}^n$ with $m>n\ge 3$. Let ${\mathfrak{h}}_t(x,y)$ be the kernels…