Tomasz Luks: Publications and Preprints
- Potential kernels for radial Dunkl Laplacians (with Piotr Graczyk, University of Angers, and Patrice Sawyer, Laurentian University), Canad. J. Math. 74(4), 1005-1033, 2022 [arXiv]
- Multiple points of operator semistable Lévy processes (with Yimin Xiao, Michigan State University), J. Theoret. Probab. 33(1), 153-179, 2020 [arXiv]
- Space-time fractional Dirichlet problems (with Boris Baeumer, University of Otago, and Mark M. Meerschaert, Michigan State University), Math. Nachr. 291, 2516-2535, 2018 [arXiv]
- On the Green function and Poisson integrals of the Dunkl Laplacian (with Piotr Graczyk, University of Angers, and Margit Rösler, Paderborn University), Potential Anal. 48(3), 337-360, 2018 [online]
- On the double points of operator stable Lévy processes (with Yimin Xiao, Michigan State University), J. Theoret. Probab. 30(1), 297-325, 2017 [arXiv]
- Hardy-Stein identities and square functions for semigroups (with Rodrigo Bañuelos, Purdue University, and Krzysztof Bogdan, Wrocław University of Science and Technology), J. London Math. Soc. 94(2), 462-478, 2016 [arXiv]
- On Hardy spaces of local and nonlocal operators (with Krzysztof Bogdan and Bartłomiej Dyda, Wrocław University of Science and Technology), Hiroshima Math. J. 44(2), 193-215, 2014 [arXiv]
- Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation (with Piotr Graczyk, University of Angers, and Tomasz Jakubowski, Wrocław University of Science and Technology), Positivity 17(4), 1043-1070, 2013 [arXiv]
- Boundary behavior of α-harmonic functions on the complement of the sphere and hyperplane, Potential Anal. 39(1), 29-67, 2013 [arXiv]
- Hardy spaces for the Laplacian with lower order perturbations, Studia Math. 204(1), 39-62, 2011 [online]
Ph.D. Dissertation: Boundary properties of harmonic functions of diffusions, stable processes and their perturbations (University of Angers, June 2012) [online]