Potential kernels for radial Dunkl Laplacians
P. Graczyk, T. Luks, P. Sawyer, Canadian Journal of Mathematics 74 (2022) 1005–1033.

Multiple Points of Operator Semistable Lévy Processes
T. Luks, Y. Xiao, Journal of Theoretical Probability 33 (2020) 153–179.

Spacetime fractional Dirichlet problems
B. Baeumer, T. Luks, M.M. Meerschaert, Mathematische Nachrichten 291 (2018) 2516–2535.

On the Double Points of Operator Stable Lévy Processes
T. Luks, Y. Xiao, Journal of Theoretical Probability 30 (2017) 297–325.

On the Green Function and Poisson Integrals of the Dunkl Laplacian
P. Graczyk, T. Luks, M. Rösler, Potential Analysis 48 (2017) 337–360.

Hardy–Stein identities and square functions for semigroups
R. Bañuelos, K. Bogdan, T. Luks, Journal of the London Mathematical Society 94 (2016) 462–478.

On Hardy spaces of local and nonlocal operators
K. Bogdan, B. Dyda, T. Luks, Hiroshima Mathematical Journal 44 (2014) 193–215.

Boundary Behavior of ;1-Harmonic Functions on the Complement of the Sphere and Hyperplane
T. Luks, Potential Analysis 39 (2013) 29–67.

Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation
P. Graczyk, T. Jakubowski, T. Luks, Positivity 17 (2013) 1043–1070.

Hardy spaces for the Laplacian with lower order perturbations
T. Luks, Studia Mathematica 204 (2011) 39–62.