Thin sequences and their role in H-p theory, model spaces, and uniform algebras

Pamela Gorkin; Sandra Pott; Brett D. Wick

doi:10.4171/RMI/856

Thin sequences and their role in H-p theory, model spaces, and uniform algebras

Pamela Gorkin, Sandra Pott, Brett D. Wick

Mathematics (Faculty of Sciences)

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	841-864
Journal	Revista Matemática Iberoamericana
Volume	31
Issue number	3
DOIs	https://doi.org/10.4171/RMI/856
Publication status	Published - 2015

Subject classification (UKÄ)

Mathematical Analysis

Free keywords

interpolation
asymptotic orthonormal
sequence
thin sequences
Hardy space

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10.4171/RMI/856

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title = "Thin sequences and their role in H-p theory, model spaces, and uniform algebras",

abstract = "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.",

keywords = "interpolation, asymptotic orthonormal, sequence, thin sequences, Hardy space",

author = "Pamela Gorkin and Sandra Pott and Wick, \{Brett D.\}",

year = "2015",

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language = "English",

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journal = "Revista Matem{\'a}tica Iberoamericana",

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T1 - Thin sequences and their role in H-p theory, model spaces, and uniform algebras

AU - Gorkin, Pamela

AU - Pott, Sandra

AU - Wick, Brett D.

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - interpolation

KW - asymptotic orthonormal

KW - sequence

KW - thin sequences

KW - Hardy space

UR - https://www.scopus.com/pages/publications/84946552563

U2 - 10.4171/RMI/856

DO - 10.4171/RMI/856

M3 - Article

SN - 2235-0616

VL - 31

SP - 841

EP - 864

JO - Revista Matemática Iberoamericana

JF - Revista Matemática Iberoamericana

IS - 3

ER -

Thin sequences and their role in H-p theory, model spaces, and uniform algebras

Abstract

Subject classification (UKÄ)

Free keywords

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