Rocky Mountain Journal of Mathematics
Mathematics, interpolating, curves, sequences
We established a condition on boundary curves (ending at points) lying either in the unit disc or the upper half plane which implies that any consecutively separated sequence, in the hyperbolic distance, lying on one of these curves is an interpolating sequence for bounded holomorphic functions.
Samih Obaid and D. Rung. "Interpolating sequences on curves" Rocky Mountain Journal of Mathematics (1985): 787-799. https://doi.org/10.1216/RMJ-1985-15-4-787