I am an assistant professor at Hankyong National University. I received my Ph.D. from Seoul National University under the supervision of Prof. Panki Kim.
jaehoon.kang (at) hknu (dot) ac (dot) kr
Potential theory for Markov processes with jumps. In particular, estimates of transition density function (heat kernel), Green function, Poisson kernel and their applications.
Properties of harmonic functions such as Harnack inequality, boundary Harnack principle.
Nonlocal Dirichlet form and nonlocal operators.
J. Bae, J. Kang, P. Kim and J. Lee, Heat kernel estimates and their stabilities for symmetric jump processes with general mixed polynomial growths on metric measure spaces, J. Differ. Equ. 438,113377, 2025. (journal), (arXiv).
J. Kang and D. Park, An L_q(L_p)-regularity theory for parabolic equations with integro-differential operators having low intensity kernels, J. Differ. Equ. 415:487--540, 2025. (journal), (arXiv).
J. Kang and D. Park, An L_q(L_p)-theory for time-fractional diffusion equations with nonlocal operators generated by Lévy processes with low intensity of small jumps, Stoch PDE: Anal Comp. 12(3):1439--1491, 2024. (journal), (arXiv).
J.-H. Choi, J. Kang and D. Park, A regularity theory for parabolic equations with anisotropic non-local operators in L_q(L_p) spaces, SIAM J. Math. Anal. 56(1):1264--1299, 2024. (journal), (arXiv).
J. Kang, Estimates of Poisson kernels for symmetric Lévy processes and their applications. Potential Anal. 60(1):1--25, 2024. (journal).
J. Kang, Heat kernel estimates for symmetric jump processes with anisotropic jumping kernels. Proc. Amer. Math. Soc., 151(1):385--399, 2023. (journal), (arXiv).
S. Cho, J. Kang and P. Kim, Estimates of Dirichlet heat kernels for unimodal Lévy processes with low intensity of small jumps, J. London Math. Soc., 104(2):823--864, 2021. (journal), (arXiv).
J. Bae, J. Kang, P. Kim and J. Lee, Heat kernel estimates for symmetric jump processes with mixed polynomial growths, Ann. Probab., 47(5):2830--2868, 2019. (journal), (arXiv).
J. Kang and P. Kim, Tangential limits for harmonic functions with respect to ϕ(∆) : stable and beyond, Potential Anal., 42(3):629--644, 2015. (journal), (arXiv).
J. Kang and P. Kim, On estimates of Poisson kernels for symmetric Lévy processes, J. Korean Math. Soc., 50(5):1009--1031, 2013. (journal).
J.-H. Choi, J. Kang , D. Park and J. Seo, A regularity theory for evolution equations with space-time anisotropic non-local operators in mixed-norm Sobolev spaces, arXiv:2505.00984.
J. Kang and M. Kassmann, Heat kernel estimates for Markov processes of direction-dependent type, arXiv:2106.07282.