Heat kernels of non-symmetric jump processes with exponentially decaying jumping kernel

Abstract

In this paper we study the transition densities for a large class of non-symmetric Markov processes whose jumping kernels decay exponentially or subexponentially. We obtain their upper bounds which also decay at the same rate as their jumping kernels. When the lower bounds of jumping kernels satisfy the weak upper scaling condition at zero, we also establish lower bounds for the transition densities, which are sharp.

References in corpus (6)

• Estimates of transition densities and their derivatives for jump Lévy processes
• Heat kernel estimates for non-symmetric stable-like processes
• Estimates of Dirichlet heat kernel for symmetric Markov processes
• Heat Kernels for Non-symmetric Non-local Operators
• Heat kernels for time-dependent non-symmetric stable-like operators
• Heat kernels for non-symmetric diffusion operators with jumps

Cited by in corpus (1)

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