Heat Kernel Estimates for Dirichlet Forms Degenerate at the Boundary
Annals of probabilityThe goal of this paper is to establish sharp two-sided estimates on the heat kernels of two types of purely discontinuous symmetric Markov processes in the upper half-space of $\mathbb{R}^d$ with jump kernels degenerate at the boundary. The jump kernels are of the form $J(x,y)=\mathcal{B}(x,y)|x-y|^{-\alpha-d}$, $\alpha\in (0,2)$, where the function ...
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