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

• Autores: Nick Dungey
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 77, Nº 2, 2004, págs. 249-268
• Idioma: inglés
• DOI: 10.1017/s1446788700013616
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• Resumen

  • 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.