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Commutators of multipliers on Hardy spaces

✍ Scribed by Pu Zhang; Jiukun Hua


Publisher
Springer
Year
2005
Tongue
English
Weight
367 KB
Volume
21
Category
Article
ISSN
1573-8175

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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^~Ξ±~__ (ℝ^__n__^ ) for 0 < __p__ < 1 and –__n__ < Ξ± ≀ 0. Our result is sharp in a certain sense and generalizes a recent result obtained by Baernstein an