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

Published online by Cambridge University Press:  09 April 2009

Nick Dungey
Affiliation:
School of Mathematics, University fo New South Wales, Sydney 2052, Australia e-mail: dungey@maths.unsw.edu.au
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Abstract

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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2004

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