On Gaussian kernel estimates on groups

• Autorzy: Nick Dungey
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 22E30: Analysis on real and complex Lie groups
• 35B40: Asymptotic behavior of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 100
• Numer: 1
• Strony: 77-90

Daty

wydano

2004

Twórcy

autor

Nick Dungey

• School of Mathematics, The University of New South Wales, Sydney 2052, Australia

Identyfikatory

DOI

10.4064/cm100-1-7