Derivees tangentielles des fonctions de la classe dans les domaines de type fini de ℂ²
Let Ω be a domain of finite type in ℂ² and let f be a function holomorphic in Ω and belonging to . We prove the existence of boundary values for some suitable derivatives of f of order greater than k. The gain of derivatives holds in the complex-tangential direction and it is precisely related to the geometry of ∂Ω. Then we prove a property of non-isotropic Hölder regularity for these boundary values. This generalizes some results given by J. Bruna and J. M. Ortega for the unit ball.