An affine-invariant inequality for rational functions and applications in harmonic analysis

Spyridon Dendrinos; Magali Folch-Gabayet; James Wright

doi:10.1017/S0013091509000364

An affine-invariant inequality for rational functions and applications in harmonic analysis

Spyridon Dendrinos
, Magali Folch-Gabayet
, James Wright

University of Glasgow
Universidad Nacional Autónoma de México
University of Edinburgh

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

Abstract

We extend an affine-invariant inequality for vector polynomials established by Dendrinos and Wright to general rational functions. As a consequence we obtain sharp universal estimates for various problems in Euclidean harmonic analysis defined with respect to the so-called affine arc-length measure.

Original language	English
Pages (from-to)	639-655
Number of pages	17
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	53
Issue number	3
DOIs	https://doi.org/10.1017/S0013091509000364
Publication status	Published - Oct 2010
Externally published	Yes

Keywords

affine-invariant inequality
Fourier restriction
rational functions

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10.1017/S0013091509000364

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title = "An affine-invariant inequality for rational functions and applications in harmonic analysis",

abstract = "We extend an affine-invariant inequality for vector polynomials established by Dendrinos and Wright to general rational functions. As a consequence we obtain sharp universal estimates for various problems in Euclidean harmonic analysis defined with respect to the so-called affine arc-length measure.",

keywords = "affine-invariant inequality, Fourier restriction, rational functions",

author = "Spyridon Dendrinos and Magali Folch-Gabayet and James Wright",

year = "2010",

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T1 - An affine-invariant inequality for rational functions and applications in harmonic analysis

AU - Dendrinos, Spyridon

AU - Folch-Gabayet, Magali

AU - Wright, James

PY - 2010/10

Y1 - 2010/10

N2 - We extend an affine-invariant inequality for vector polynomials established by Dendrinos and Wright to general rational functions. As a consequence we obtain sharp universal estimates for various problems in Euclidean harmonic analysis defined with respect to the so-called affine arc-length measure.

AB - We extend an affine-invariant inequality for vector polynomials established by Dendrinos and Wright to general rational functions. As a consequence we obtain sharp universal estimates for various problems in Euclidean harmonic analysis defined with respect to the so-called affine arc-length measure.

KW - affine-invariant inequality

KW - Fourier restriction

KW - rational functions

UR - https://www.scopus.com/pages/publications/79451471061

U2 - 10.1017/S0013091509000364

DO - 10.1017/S0013091509000364

M3 - Article

AN - SCOPUS:79451471061

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VL - 53

SP - 639

EP - 655

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

IS - 3

ER -

An affine-invariant inequality for rational functions and applications in harmonic analysis

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Keywords

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