Kernel estimates for perturbations of positive semigroups
Christian Seifert · PAMM · 2014
Abstract Given a positive C0‐semigroup T0 on L2(Ω, m) with a kernel k0, where (Ω, m) is a σ‐finite measure space, we study a suitably perturbed semigroup T and prove existence of a kernel k for T and an estimate of the k in terms of k0. In this way we extend a heat kernel estimate proven by Barlow, Grigor’yan and Kumagai [4] for Dirichlet forms perturbed by jump processes. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)