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Multipliers in Hardy-Sobolev Spaces

✍ Scribed by Joaquín M. Ortega; Joan Fàbrega


Publisher
SP Birkhäuser Verlag Basel
Year
2005
Tongue
English
Weight
334 KB
Volume
55
Category
Article
ISSN
0378-620X

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📜 SIMILAR VOLUMES


Fourier multipliers on power-weighted Ha
✍ T. S. Quek 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 213 KB 👁 1 views

## 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