The Interpolation by analytic functions smooth on the boundary. II

This article deals with the interpolation (in the spirit of the well-known Carleson $H^\infty$-interpolation theorem) of analytic functions with the $n$-th derivative in the Hardy class $H^p$. It is shown that the interpolation of natural data is possible under the Carleson condition (imposed on the knots). Analogous results are valid also for the class of functions with the holderian $n$-th derivative.