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Hardy's inequality in power-type weighted spaces

✍ Scribed by R.A. Mashiyev; B. Çekiç; F.I. Mamedov; S. Ogras

Book ID: 118475513
Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 142 KB
Volume: 334
Category: Article
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2006.12.043

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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