On Gaussian kernel estimates on groups

Nick Dungey

doi:10.4064/cm100-1-7

On Gaussian kernel estimates on groups

Nick Dungey^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We give new and simple sufficient conditions for Gaussian upper bounds for a convolution semigroup on a unimodular locally compact group. These conditions involve certain semigroup estimates in L²(G). We describe an application for estimates of heat kernels of complex subelliptic operators on unimodular Lie groups.

Original language	English
Pages (from-to)	77-90
Number of pages	14
Journal	Colloquium Mathematicum
Volume	100
Issue number	1
DOIs	https://doi.org/10.4064/cm100-1-7
Publication status	Published - 2004
Externally published	Yes

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title = "On Gaussian kernel estimates on groups",

abstract = "We give new and simple sufficient conditions for Gaussian upper bounds for a convolution semigroup on a unimodular locally compact group. These conditions involve certain semigroup estimates in L2(G). We describe an application for estimates of heat kernels of complex subelliptic operators on unimodular Lie groups.",

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AB - We give new and simple sufficient conditions for Gaussian upper bounds for a convolution semigroup on a unimodular locally compact group. These conditions involve certain semigroup estimates in L2(G). We describe an application for estimates of heat kernels of complex subelliptic operators on unimodular Lie groups.

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DO - 10.4064/cm100-1-7

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JO - Colloquium Mathematicum

JF - Colloquium Mathematicum

IS - 1

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On Gaussian kernel estimates on groups

Abstract

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