Pamela Gorkin

Asymptotic Interpolating Sequences in Uniform Algebras

T. Hosokawa, K. Izuchi and D. Zheng recently introduced the concept of asymptotic interpolating sequences (of type 1) in the unit disk for

Universal Blaschke products

H^infty

Composition of inner functions

(

Sequences in the maximal ideal space of

{bb D}

Value Distribution of Interpolating Blaschke Products

). It is shown that these sequences coincide with sequences that are interpolating for the algebra

Universal Singular Inner Functions

QA

Cluster sets of interpolating Blaschke products

. Also a characterization is given of the interpolating sequences of type

An Infinite Dimensional Vector Space of Universal Functions for Hinfty of the Ball

1

Radial limits of interpolating Blaschke products

for

How to get universal inner functions

H^infty