A NOTE ON LOCALISED WEIGHTED INEQUALITIES FOR THE EXTENSION OPERATOR

J. A. Barcelo; J. M. Bennett; A. Carbery

doi:10.1017/S1446788708000694

A NOTE ON LOCALISED WEIGHTED INEQUALITIES FOR THE EXTENSION OPERATOR

J. A. Barcelo, J. M. Bennett, A. Carbery

School of Mathematics

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

Abstract / Description of output

We prove optimal radially weighted L-2-norm inequalities for the Fourier extension operator associated to the unit sphere in R-n. 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	3
DOIs	https://doi.org/10.1017/S1446788708000694
Publication status	Published - Jun 2008

Keywords / Materials (for Non-textual outputs)

Fourier extension operators
weighted inequalities
EQUATION

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10.1017/S1446788708000694

A NOTE ON LOCALISED WEIGHTED INEQUALITIES FOR THE EXTENSION OPERATORAccepted author manuscript, 614 KB

http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=2263720

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title = "A NOTE ON LOCALISED WEIGHTED INEQUALITIES FOR THE EXTENSION OPERATOR",

abstract = "We prove optimal radially weighted L-2-norm inequalities for the Fourier extension operator associated to the unit sphere in R-n. 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.",

keywords = "Fourier extension operators, weighted inequalities, EQUATION",

author = "Barcelo, {J. A.} and Bennett, {J. M.} and A. Carbery",

year = "2008",

month = jun,

doi = "10.1017/S1446788708000694",

language = "English",

volume = "84",

pages = "289--299",

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T1 - A NOTE ON LOCALISED WEIGHTED INEQUALITIES FOR THE EXTENSION OPERATOR

AU - Barcelo, J. A.

AU - Bennett, J. M.

AU - Carbery, A.

PY - 2008/6

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N2 - We prove optimal radially weighted L-2-norm inequalities for the Fourier extension operator associated to the unit sphere in R-n. 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.

AB - We prove optimal radially weighted L-2-norm inequalities for the Fourier extension operator associated to the unit sphere in R-n. 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.

KW - Fourier extension operators

KW - weighted inequalities

KW - EQUATION

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U2 - 10.1017/S1446788708000694

DO - 10.1017/S1446788708000694

M3 - Article

SN - 1446-7887

VL - 84

SP - 289

EP - 299

JO - Journal of the australian mathematical society

JF - Journal of the australian mathematical society

IS - 3

ER -

A NOTE ON LOCALISED WEIGHTED INEQUALITIES FOR THE EXTENSION OPERATOR

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Keywords / Materials (for Non-textual outputs)

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