| Contents |
| We consider the (CR) conformally covariant fractional powers of the sub-Laplacian on the Heisenberg group. As in the real case, they are given in terms of the Dirichlet-to-Neumann problem for an extension problem to the complex hyperbolic space in relation to the scattering operator. We look at some energy inequalities and applications to the CR fractional Yamabe problem. |
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