Interpolation for Multipliers on Reproducing Kernel Hilbert Spaces
نویسندگان
چکیده
All solutions of a tangential interpolation problem for contractive multipliers between two reproducing kernel Hilbert spaces of analytic vectorvalued functions are characterized in terms of certain positive kernels. In a special important case when the spaces consist of analytic functions on the unit ball of Cd and the reproducing kernels are of the form (1 − 〈z, w〉−1)Ip and (1−〈z,w〉)−1Iq, the characterization leads to a parametrization of the set of all solutions in terms of a linear fractional transformation.
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