Free multiple interpolation

Our aim in this article is to construct a bounded linear operator that solves the problem of multiple interpolation (interpolation with derivatives). It is proved that such an operator exists for nontangential and sparse interpolation sets if we consider interpolation by analytic functions satisfying the following condition: $|f^{(m)}(z_1)-f^{(m)}(z_2)|\leq\omega(|z_1-z_2|)$.