On multiplicators of power series in Hardy spaces
β Scribed by V. V. Volchkov
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 579 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0041-5995
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π SIMILAR VOLUMES
## Abstract Using Herz spaces, we obtain a sufficient condition for a bounded measurable function on β^__n__^ to be a Fourier multiplier on __H^p^~Ξ±~__ (β^__n__^ ) for 0 < __p__ < 1 and β__n__ < Ξ± β€ 0. Our result is sharp in a certain sense and generalizes a recent result obtained by Baernstein an
## Abstract The purpose of this paper is to present characterizations of the inhomogeneous HardyβBessel potential spaces __F^p^__~Ξ±~ (__K__) over the 2βseries field __K__ defined by LittlewoodβPaley type function, magnified image where Ξ~0~(__x__) = 1(|x|β₯1), = 0(other), Ξ~__j__~(__x__) = 2^__j__^