Carathéodory Fejér Interpolation in the Ball With Mixed Derivatives
We use reproducing kernel Hilbert space methods to solve a Carathéodory–Fejér type interpolation problem with mixed derivatives (corresponding to a so-called lower inclusive set) in the class of Schur multipliers.
D. Alpay and C. Dubi, Carathéodory Fejér interpolation in the ball with mixed derivatives. Linear Algebra and its applications, vol. 382 (2004) 117-133.