On Gaussian kernel estimates on groups

Nick Dungey

Colloquium Mathematicae (2004)

  • Volume: 100, Issue: 1, page 77-90
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Nick Dungey. "On Gaussian kernel estimates on groups." Colloquium Mathematicae 100.1 (2004): 77-90. <http://eudml.org/doc/283556>.

@article{NickDungey2004,
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.},
author = {Nick Dungey},
journal = {Colloquium Mathematicae},
keywords = {unimodular locally compact groups; Lie groups; convolution semigroup; Gaussian upper bounds},
language = {eng},
number = {1},
pages = {77-90},
title = {On Gaussian kernel estimates on groups},
url = {http://eudml.org/doc/283556},
volume = {100},
year = {2004},
}

TY - JOUR
AU - Nick Dungey
TI - On Gaussian kernel estimates on groups
JO - Colloquium Mathematicae
PY - 2004
VL - 100
IS - 1
SP - 77
EP - 90
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.
LA - eng
KW - unimodular locally compact groups; Lie groups; convolution semigroup; Gaussian upper bounds
UR - http://eudml.org/doc/283556
ER -

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