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Hardy Spaces on the Plane and Double Fourier Transforms

✍ Scribed by Dang Vu Giang; Ferenc Moricz

Book ID: 113014992
Publisher: SP Birkhäuser Verlag Boston
Year: 1995
Tongue: English
Weight: 300 KB
Volume: 2
Category: Article
ISSN: 1069-5869
DOI: 10.1007/s00041-001-4040-5

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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