]. D. App09 and . Applebaum, Lévy Processes and Stochastic Calculus, II Edition, 2009.

D. Benson, B. Baeumer, and M. Meerschaert, Operator Lévy motion and multiscaling anomalous diffusion, BC06] R.F. Bass and Z.Q. Chen. Systems of equations driven by stable processes. Probab. Theory Related Fields, pp.1-6175, 2001.

M. Bramanti, G. Cupini, E. Lanconelli, and E. Priola, Global L p estimates for degenerate Ornstein???Uhlenbeck operators, Mathematische Zeitschrift, vol.162, issue.1, pp.789-816, 2010.
DOI : 10.1007/s00209-009-0599-3
URL : http://arxiv.org/abs/0807.4020

M. Bramanti, M. C. Cerutti, M. [. Manfredini, K. Banuelos, ]. F. Bogdan-kbou02 et al., L p -estimates for some ultraparabolic operators with discontinuous coefficients Lévy processes and Fourier multipliers Hypoelliptic regularity in kinetic equations Some results on partial differential equations and Asian options, Bra10] M. Bramanti. Singular integrals in nonhomogeneous spaces: L 2 and L p continuity from Hölder estimates, pp.200-202, 1996.

J. H. Cushman, M. Park, N. Kleinfelter, M. [. Moroni, G. Coifman et al., Super-diffusion via Lévy lagrangian velocity processes Geophysical Research Letters Analyse Harmonique non-commutative sur certains espaces homogènes Chen and X. Zhang. L p -maximal hypoelliptic regularity of nonlocal kinetic Fokker-Planck operators On L p -estimates for a class of non-local elliptic equations Density estimates for a random noise propagating through a chain of differential equations, Dyn65] E. B Dynkin. Markov Processes, pp.32-191166, 1965.

J. Eckmann, C. Pillet, L. Rey-bellet, M. D. Francesco, S. Polidoro-fefferman et al., Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures [FL06] B. Farkas and A. Lunardi. Maximal regularity for Kolmogorov operators in L2 spaces with respect to invariant measures Schauder estimates, Harnack inequality and Gaussian lower bound for Kolmogorovtype operators in non-divergence form H p spaces of several variables, HM16] L. Huang and S. Menozzi. A Parametrix Approach for some Degenerate Stable Driven SDEs. Annales Instit. H. Poincaré, pp.201-204, 1972.

L. Huang, S. Menozzi, and E. Priola, L p Estimates For Degenerate Non-Local Kolmogorov Operators, ArXiV, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01349567

]. L. Hör67, S. Hörmander, I. Lim, K. Kim, . N. Kimkoc89-]-a et al., Hypoelliptic second order differential operators An Lq(Lp)-Theory for Parabolic Pseudo-Differential Equations: Calderón-Zygmund Approach . Potential Analysis, doi:10.1007/s11118-016-9552-3:1?21 Parabolic pseudodifferential equations, hypersingular integrals and Markov processes On the smoothness of PDF of solutions to SDE of jump type, Mathematische Annalen 2016. [Jac05] N. Jacob. Pseudo differential operators and Markov processesKol00] V. Kolokoltsov. Symmetric stable laws and stable-like diffusion. Proceedings of theLP94] E. Lanconelli and S. Polidoro. On a class of hypoelliptic evolution operatorsMel16] A. Mellet. Anomalous diffusion phenomena: a kinetic approach . Séminaire Laurent Schwartz?ÉquationsSchwartz?´Schwartz?Équations aux dérivées partielles et applicationsExp. No. XII, 16 pp., Ed. ´ Ec. Polytech, pp.121147147-171233, 1934.

A. Mellet, S. Mischler, C. Mouhotmp92-]-r, G. Mikulevicius, . [. Pragarauskas et al., On the martingale problem associated with nondegenerate Lévy operators Densities for Ornstein?Uhlenbeck processes with jumps. Bulletin of the [Rad12] A. Radjesvarane. Fractional order kinetic equations and hypoellipticity Null-controllability of the Kolmogorov equation in the whole phase space Lévy processes and Infinitely divisible Distributions [Szt10] P. Sztonyk. Estimates of tempered stable densities, Tal02] D. Talay. Stochastic Hamiltonian dissipative systems: exponential convergence to the invariant measure, and discretization by the implicit Euler scheme. Markov Processes and Related Fields Asymptotic estimates of multi-dimensional stable densities and their applications. Transactions of theZha13] X. Zhang. L p -maximal regularity of nonlocal parabolic equations and applications. Ann. I. H. Poincaré AN, pp.493-525297, 1975.