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Fourier multipliers of Lipschitz spaces

✍ Scribed by T.S Quek; Leonard Y.H Yap

Book ID: 107800820
Publisher: Elsevier Science
Year: 1982
Tongue: English
Weight: 226 KB
Volume: 89
Category: Article
ISSN: 0022-247X
DOI: 10.1016/0022-247x(82)90089-0

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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