On Stieltjes functions and Hankel operators
โ Scribed by Raimund J. Ober
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 175 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0167-6911
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we study Hankel operators and Toeplitz operators through a distribution function inequality on the Lusin area integral function and the Littlewood Paley theory. A sufficient condition and a necessary condition are obtained for the boundedness of the product of two Hankel operators. The
## Abstract In this paper we study generalized Hankel operators ofthe form : โฑ^2^(|__z__ |^2^) โ __L__^2^(|__z__ |^2^). Here, (__f__):= (IdโP~__l__~ )($ \bar z $^k^__f__) and P__l__ is the projection onto __A__~__l__~ ^2^(โ, |__z__ |^2^):= cl(span{$ \bar z $^__m__^ __z^n^__ | __m__, __n__ โ __N__,
Let B m be the unit ball in the m-dimensional complex plane C m with the weighted measure From the viewpoint of the Cauchy-Riemann operator we give an orthogonal direct sum decomposition for L 2 B m dยต ฮฑ z , i.e., L 2 B m dยต ฮฑ z = โ nโZ + ฯโ A ฯ n , where the components A + + + 0 and A ---0 are jus