INTERPOLATION IN MODEL SPACES

Pamela Gorkin; Brett D. Wick

doi:10.1090/bproc/59

INTERPOLATION IN MODEL SPACES

Pamela Gorkin
, Brett D. Wick

Department of Mathematics

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

1 Scopus citations

Abstract

In this paper we consider interpolation in model spaces, H² ⊖BH² with B a Blaschke product. We study unions of interpolating sequences for two sequences that are far from each other in the pseudohyperbolic metric as well as two sequences that are close to each other in the pseudohyperbolic metric. The paper concludes with a discussion of the behavior of Frostman sequences under perturbations.

Original language	English
Pages (from-to)	170-182
Number of pages	13
Journal	Proceedings of the American Mathematical Society, Series B
Volume	7
DOIs	https://doi.org/10.1090/bproc/59
State	Published - 2020

Keywords

Blaschke product
Hardy space
interpolation
model space

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10.1090/bproc/59

Cite this

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title = "INTERPOLATION IN MODEL SPACES",

abstract = "In this paper we consider interpolation in model spaces, H2 ⊖BH2 with B a Blaschke product. We study unions of interpolating sequences for two sequences that are far from each other in the pseudohyperbolic metric as well as two sequences that are close to each other in the pseudohyperbolic metric. The paper concludes with a discussion of the behavior of Frostman sequences under perturbations.",

keywords = "Blaschke product, Hardy space, interpolation, model space",

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note = "Publisher Copyright: {\textcopyright} 2020 by the authors.",

year = "2020",

doi = "10.1090/bproc/59",

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AU - Wick, Brett D.

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N2 - In this paper we consider interpolation in model spaces, H2 ⊖BH2 with B a Blaschke product. We study unions of interpolating sequences for two sequences that are far from each other in the pseudohyperbolic metric as well as two sequences that are close to each other in the pseudohyperbolic metric. The paper concludes with a discussion of the behavior of Frostman sequences under perturbations.

AB - In this paper we consider interpolation in model spaces, H2 ⊖BH2 with B a Blaschke product. We study unions of interpolating sequences for two sequences that are far from each other in the pseudohyperbolic metric as well as two sequences that are close to each other in the pseudohyperbolic metric. The paper concludes with a discussion of the behavior of Frostman sequences under perturbations.

KW - Blaschke product

KW - Hardy space

KW - interpolation

KW - model space

UR - https://www.scopus.com/pages/publications/85131546975

U2 - 10.1090/bproc/59

DO - 10.1090/bproc/59

M3 - Article

AN - SCOPUS:85131546975

SN - 2330-1511

VL - 7

SP - 170

EP - 182

JO - Proceedings of the American Mathematical Society, Series B

JF - Proceedings of the American Mathematical Society, Series B

ER -

INTERPOLATION IN MODEL SPACES

Abstract

Keywords

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