Abstract
In this paper we introduce and characterize one double interpolation problem for the space \(H^\infty \) of all bounded analytic functions in the open unit disk \({\mathbb {D}}\) of the complex plane, that is, we require interpolation by the function and its derivative. We impose that the values have to be interpolated on a certain sequence are linked in the same way that the values of a function in \(H^\infty \) and its derivative.
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