A Note on Localised Weighted Inequalities for the Extension Operator

Jonathan Bennett; JA Barceló; A Carbery

doi:10.1017/S1446788708000694

A Note on Localised Weighted Inequalities for the Extension Operator

Jonathan Bennett, JA Barceló, A Carbery

Mathematics

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Abstract

We prove optimal radially weighted L2-norm inequalities for the Fourier extension operator associated to the unit sphere in xs211Dn. Such inequalities valid at all scales are well understood. The purpose of this short paper is to establish certain more delicate single-scale versions of these

Original language	English
Pages (from-to)	289-299
Number of pages	11
Journal	Journal of the Australian Mathematical Society
Volume	84
Issue number	03
Early online date	22 Sept 2008
DOIs	https://doi.org/10.1017/S1446788708000694
Publication status	Published - 22 Sept 2008

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Bennett_2008_Journal_of_the_Australian_Mathematical_Society
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title = "A Note on Localised Weighted Inequalities for the Extension Operator",

abstract = "We prove optimal radially weighted L2-norm inequalities for the Fourier extension operator associated to the unit sphere in xs211Dn. Such inequalities valid at all scales are well understood. The purpose of this short paper is to establish certain more delicate single-scale versions of these",

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AB - We prove optimal radially weighted L2-norm inequalities for the Fourier extension operator associated to the unit sphere in xs211Dn. Such inequalities valid at all scales are well understood. The purpose of this short paper is to establish certain more delicate single-scale versions of these

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DO - 10.1017/S1446788708000694

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A Note on Localised Weighted Inequalities for the Extension Operator

Abstract

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