Gaussian heat kernel upper bounds via the Phragmn-Lindelf theorem

Gaussian heat kernel upper bounds via the Phragmn-Lindelf theorem

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by Thierry Coulhon , Adam Sikora

Venue:	Proc. Lond. Math. Soc
Citations:	4 - 0 self

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@ARTICLE{Coulhon_gaussianheat,
    author = {Thierry Coulhon and Adam Sikora},
    title = {Gaussian heat kernel upper bounds via the Phragmn-Lindelf theorem},
    journal = {Proc. Lond. Math. Soc},
    year = {},
    pages = {544}
}

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Abstract

Abstract. 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. Contents

Citations

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