Some regularity estimates for convolution semigroups on a group of polynomial growth

Nick Dungey

doi:10.1017/s1446788700013616

Some regularity estimates for convolution semigroups on a group of polynomial growth

Nick Dungey^*

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

We study a convolution semigroup satisfying Gaussian estimates on a group G of polynomial volume growth. If Q is a subgroup satisfying a certain geometric condition, we obtain high order regularity estimates for the semigroup in the direction of Q. Applications to heat kernels and convolution powers are given.

Original language	English
Pages (from-to)	249-268
Number of pages	20
Journal	Journal of the Australian Mathematical Society
Volume	77
Issue number	2
DOIs	https://doi.org/10.1017/s1446788700013616
Publication status	Published - Oct 2004
Externally published	Yes

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abstract = "We study a convolution semigroup satisfying Gaussian estimates on a group G of polynomial volume growth. If Q is a subgroup satisfying a certain geometric condition, we obtain high order regularity estimates for the semigroup in the direction of Q. Applications to heat kernels and convolution powers are given.",

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Some regularity estimates for convolution semigroups on a group of polynomial growth

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