On the Boundedness and Compactness of Operators of Hankel Type
β Scribed by F. Beatrous; S.Y. Li
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 876 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0022-1236
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π SIMILAR VOLUMES
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 dΒ΅ Ξ± z , i.e., L 2 B m dΒ΅ Ξ± z = β nβZ + Οβ A Ο n , where the components A + + + 0 and A ---0 are jus
## Abstract We consider a class of multidimensional potentialβtype operators with kernels that have singularities at the origin and on the unit sphere and that are oscillating at infinity. We describe some convex sets in the (1/__p,__ 1/__q__)βplane for which these operators are bounded from __L~p~
A sufficient condition is found for the product of two Toeplitz operators on the Hardy space of the unit sphere to be a compact perturbation of a Toeplitz operator. The condition leads to a criterion for a Hankel operator to be compact. ## 1997 Academic Press The object of this present paper is to