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

School of Mathematics

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
DOIs	https://doi.org/10.1017/S0013091509000364
Publication status	Published - Oct 2010

Keywords / Materials (for Non-textual outputs)

affine-invariant inequality
rational functions
Fourier restriction
FOURIER RESTRICTION-THEOREMS
POLYNOMIAL CURVES
DEGENERATE CURVES
TRANSFORMS
CONVOLUTION

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10.1017/S0013091509000364

An Affine-Invariant Inequality for Rational Funcations and Applications in Harmonic AnalysisFinal published version, 223 KB

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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, rational functions, Fourier restriction, FOURIER RESTRICTION-THEOREMS, POLYNOMIAL CURVES, DEGENERATE CURVES, TRANSFORMS, CONVOLUTION",

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year = "2010",

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journal = "Proceedings of the Edinburgh Mathematical Society",

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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 - rational functions

KW - Fourier restriction

KW - FOURIER RESTRICTION-THEOREMS

KW - POLYNOMIAL CURVES

KW - DEGENERATE CURVES

KW - TRANSFORMS

KW - CONVOLUTION

UR - http://www.scopus.com/inward/record.url?scp=79451471061&partnerID=8YFLogxK

U2 - 10.1017/S0013091509000364

DO - 10.1017/S0013091509000364

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EP - 655

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

ER -

AN AFFINE-INVARIANT INEQUALITY FOR RATIONAL FUNCTIONS AND APPLICATIONS IN HARMONIC ANALYSIS

Abstract

Keywords / Materials (for Non-textual outputs)

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Degenerate Oscillatory Integral Operators

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AN AFFINE-INVARIANT INEQUALITY FOR RATIONAL FUNCTIONS AND APPLICATIONS IN HARMONIC ANALYSIS

Abstract

Keywords / Materials (for Non-textual outputs)

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Degenerate Oscillatory Integral Operators

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