Is there relation between vector valued RKHS and interpolation space?

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Vector valued RKHS which is covered extensively in the book "Pick Interpolation and Hilbert function spaces" . On the other hand interpolation space which is defined in the wikipedia link: https://en.wikipedia.org/wiki/Interpolation_space. My question are these related somehow? Can we define both under the same framework? I got this idea from limited understanding of the paper: http://www.ams.org/journals/mcom/2008-77-263/S0025-5718-07-02096-0/S0025-5718-07-02096-0.pdf

Any clarification would be appreciated.