arxiv: math/0609429 · v1 · pith:J3NETXB7new · submitted 2006-09-15 · 🧮 math.AP

Gaussian heat kernel upper bounds via Phragm\'en-Lindel\"of theorem

Thierry Coulhon , Adam Sikora This is my paper

classification 🧮 math.AP

keywords boundsgaussianupperestimatesanalyticdavies-gaffneyen-lindelfamilies

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We prove that in presence of $L^2$ Gaussian estimates, so-called Davies-Gaffney estimates, on-diagonal upper bounds imply precise off-diagonal Gaussian upper bounds for the kernels of analytic families of operators on metric measure spaces.

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Gaussian heat kernel upper bounds via Phragm\'en-Lindel\"of theorem

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