Heat kernel bounds for a large class of Markov process with singular jump

Kyung-Youn Kim, Lidan Wang

Let $Z=(Z^1,\dots ,Z^d)$ be the $d$-dimensional Lévy processes where $Z^i$'s are independent $1$-dimensional Lévy processes with jump kernel $J^{ϕ, 1}(u,w) =|u-w|^{-1}ϕ(|u-…