A Note on Recursive Interpolation for the Lipschitz Class

摘要

This note is framed in the field of complex analysis and deals with some types of interpolating sequences for Lipschitz functions in the unit disk. We introduce recursion between each point of a sequence and the next. We also add interpolation by the derivative, linking its values to those that the function takes. On the supposition that the sequences are quite contractive and lie in a Stolz angle, we relate the interpolating ones for each type to the uniformly separated sequences.