On Weighted Hardy Spaces on Complex Semigroups
β Scribed by Karl-Hermann Neeb
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 326 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0037-1912
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let , be analytic functions defined on β«,ήβ¬ such that β«ήβ¬ : β«.ήβ¬ The operator Ε½ . given by f Β¬ f ( is called a weighted composition operator. In this paper we deal with the boundedness, compactness, weak compactness, and complete continu-Ε½ . ity of weighted composition operators on Hardy spaces H 1
## 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