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Thin Sequences and Their Role in H-P Theory, Model Spaces, and Uniform Algebras

Revista Matematica Iberoamericana, Vol: 31, Issue: 3, Page: 841-864
2015
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Article Description

In this paper we revisit some facts about thin interpolating sequences in the unit disc from three perspectives: uniform algebras, model spaces, and H-p spaces. We extend the notion of asymptotic interpolation to H-p spaces, for 1 <= p <= infinity, providing several new ways to think about these sequences.

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