Inner functions in certain Hardy–Sobolev spaces

Janne Gröhn; Artur Nicolau

doi:10.1016/j.jfa.2016.12.001

Inner functions in certain Hardy–Sobolev spaces

Janne Gröhn, Artur Nicolau

Department of Mathematics

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

7 Citations (Scopus)

Abstract

© 2016 Elsevier Inc. For 1/2<p<1, a description of inner functions whose derivative is in the Hardy space Hp is given in terms of either their mapping properties or the geometric distribution of their zeros.

Original language	English
Pages (from-to)	2463-2486
Journal	Journal of Functional Analysis
Volume	272
Issue number	6
DOIs	https://doi.org/10.1016/j.jfa.2016.12.001
Publication status	Published - 15 Mar 2017

Keywords

Blaschke product
Hardy space
Inner function

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10.1016/j.jfa.2016.12.001

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title = "Inner functions in certain Hardy–Sobolev spaces",

abstract = "{\textcopyright} 2016 Elsevier Inc. For 1/2<p<1, a description of inner functions whose derivative is in the Hardy space Hp is given in terms of either their mapping properties or the geometric distribution of their zeros.",

keywords = "Blaschke product, Hardy space, Inner function",

author = "Janne Gr{\"o}hn and Artur Nicolau",

year = "2017",

month = mar,

day = "15",

doi = "10.1016/j.jfa.2016.12.001",

language = "English",

volume = "272",

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journal = "Journal of Functional Analysis",

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T1 - Inner functions in certain Hardy–Sobolev spaces

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AU - Nicolau, Artur

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AB - © 2016 Elsevier Inc. For 1/2<p<1, a description of inner functions whose derivative is in the Hardy space Hp is given in terms of either their mapping properties or the geometric distribution of their zeros.

KW - Blaschke product

KW - Hardy space

KW - Inner function

U2 - 10.1016/j.jfa.2016.12.001

DO - 10.1016/j.jfa.2016.12.001

M3 - Article

VL - 272

SP - 2463

EP - 2486

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 6

ER -

Inner functions in certain Hardy–Sobolev spaces

Abstract

Keywords

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