Heat kernel estimates for subordinate Markov processes and their applications

In this paper, we establish sharp two-sided estimates for transition densities of a large class of subordinate Markov processes. As applications, we show that the parabolic Harnack inequality and Holder regularity hold for parabolic functions of such processes, and derive sharp two-sided Green function estimates. (c) 2022 Elsevier Inc. All rights reserved.

Automated summary

In this paper, sharp two-sided estimates are established for transition densities of a large class of subordinate Markov processes. As applications, the parabolic Harnack inequality and Holder regularity for such processes are shown, and sharp two-sided Green function estimates are derived.