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Articles 31 - 32 of 32
Full-Text Articles in Physical Sciences and Mathematics
The Sharpness Of Some Cluster Set Results, D. Rung, Samih Obaid
The Sharpness Of Some Cluster Set Results, D. Rung, Samih Obaid
Faculty Publications
We show that a recent cluster set theorem of Rung is sharp in a certain sense. This is accomplished through the construction of an interpolating sequence whose limit set is closed, totally disconnected and porous. The results also generalize some of Dolzenko's cluster set theorems.
Interpolating Sequences On Curves, Samih Obaid, D. Rung
Interpolating Sequences On Curves, Samih Obaid, D. Rung
Faculty Publications
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.