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Absolutely summing multipliers on abstract Hardy spaces

✍ Scribed by Mieczysław Mastyło; Paweł Mleczko

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2009
Tongue
English
Weight
313 KB
Volume
25
Category
Article
ISSN
1439-7617

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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