Radial Fourier Multipliers of Lp(R2)

We give sufficient conditions (in terms of differentiability and growth properties) for a radial function to be an Lp(R2) Fourier multiplier. These conditions are in the nature of best possible.

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Bibliographic Details
Published in:Proceedings of the National Academy of Sciences - PNAS 1984-05, Vol.81 (10), p.3254-3255
Main Authors: Carbery, Anthony, Gasper, George, Trebels, Walter
Format: Article
Language:English
Subjects:
Mathematical functions
Mathematical growth
Mathematical inequalities
Mathematical theorems
Physical Sciences: Mathematics
Online Access:Get full text
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Description
Summary:We give sufficient conditions (in terms of differentiability and growth properties) for a radial function to be an Lp(R2) Fourier multiplier. These conditions are in the nature of best possible.
ISSN:0027-8424
1091-6490
DOI:10.1073/pnas.81.10.3254