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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Tugores, F. Double and linked interpolating sequences. Period Math Hung 70, 227–232 (2015). https://doi.org/10.1007/s10998-014-0072-x
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DOI: https://doi.org/10.1007/s10998-014-0072-x
Keywords
- Interpolating sequence
- Uniformly separated
- Blaschke product
- Divided differences
- Pseudohyperbolic distance