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Multipliers of Weighted Lebesgue and Measure Spaces

✍ Scribed by Gaudry, G. I.

Book ID: 120102334
Publisher: Oxford University Press
Year: 1969
Tongue: English
Weight: 289 KB
Volume: s3-19
Category: Article
ISSN: 0024-6115
DOI: 10.1112/plms/s3-19.2.327

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## Abstract Using Herz spaces, we obtain a sufficient condition for a bounded measurable function on ℝ^__n__^ to be a Fourier multiplier on __H^p^~α~__ (ℝ^__n__^ ) for 0 < __p__ < 1 and –__n__ < α ≤ 0. Our result is sharp in a certain sense and generalizes a recent result obtained by Baernstein an