Approximating the modulus of an inner function

Geir Arne Hjelle; Artur Nicolau

doi:https://doi.org/10.2140/pjm.2006.228.103

Approximating the modulus of an inner function

Geir Arne Hjelle, Artur Nicolau

Department of Mathematics

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

4 Citations (Scopus)

Abstract

We show that the modulus of an inner function can be uniformly approximated in the unit disk by the modulus of an interpolating Blaschke product.

Original language	English
Pages (from-to)	103-118
Journal	Pacific Journal of Mathematics
Volume	228
DOIs	https://doi.org/10.2140/pjm.2006.228.103
Publication status	Published - 1 Jan 2006

Keywords

Carleson contour
Discretization
Inner function
Interpolating Blaschke product
Modulus

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Cite this

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title = "Approximating the modulus of an inner function",

abstract = "We show that the modulus of an inner function can be uniformly approximated in the unit disk by the modulus of an interpolating Blaschke product.",

keywords = "Carleson contour, Discretization, Inner function, Interpolating Blaschke product, Modulus",

author = "Hjelle, {Geir Arne} and Artur Nicolau",

year = "2006",

month = jan,

day = "1",

doi = "https://doi.org/10.2140/pjm.2006.228.103",

language = "English",

volume = "228",

pages = "103--118",

journal = "Pacific Journal of Mathematics",

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publisher = "University of California, Berkeley",

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AU - Hjelle, Geir Arne

AU - Nicolau, Artur

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AB - We show that the modulus of an inner function can be uniformly approximated in the unit disk by the modulus of an interpolating Blaschke product.

KW - Carleson contour

KW - Discretization

KW - Inner function

KW - Interpolating Blaschke product

KW - Modulus

U2 - https://doi.org/10.2140/pjm.2006.228.103

DO - https://doi.org/10.2140/pjm.2006.228.103

M3 - Article

SN - 0030-8730

VL - 228

SP - 103

EP - 118

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

ER -

Approximating the modulus of an inner function

Abstract

Keywords

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