Heat kernel estimates for symmetric jump processes with general mixed polynomial growths

In this talk, we discuss transition densities of pure jump symmetric Markov processes in \$R^d\$, whose jumping kernels are comparable to radially symmetric functions with general mixed polynomial growths. Under some mild assumptions on their scale functions, we establish sharp two-sided estimates  of transition densities (heat kernel estimates) for such processes. This is a joint work with Joohak Bae, Jaehoon Kang and Jaehun Lee.