Subordinated Markov processes: sharp estimates for heat kernels and Green functions

Tomasz Grzywny; Bartosz Trojan

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arXiv · 2110.01201

Subordinated Markov processes: sharp estimates for heat kernels and Green functions

Tomasz Grzywny·Bartosz Trojan

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Abstract

We prove sharp estimates on heat kernels and Green functions for subordinate Markov processes with both discrete an continuous time, under relatively weak assumptions about original processes as well as Laplace exponents of subordinators. We also show stability of heat kernel estimates in the discrete settings.

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Tomasz Grzywny, Bartosz Trojan. 2021-10-04. Subordinated Markov processes: sharp estimates for heat kernels and Green functions. https://arxiv.org/abs/2110.01201

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