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Hankel and Toeplitz type operators on the unit disk

✍ Scribed by Jianxun He; Lizhong Peng


Book ID
111783850
Publisher
SP Science China Press
Year
2002
Tongue
English
Weight
198 KB
Volume
45
Category
Article
ISSN
1674-7283

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πŸ“œ SIMILAR VOLUMES


Hankel- and Toeplitz-Type Operators on t
✍ Jianxun He πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 129 KB

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 = βŠ• n∈Z + Οƒβˆˆ A Οƒ n , where the components A + + + 0 and A ---0 are jus

Toeplitz Operators and Hankel Operators
✍ Dechao Zheng πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 396 KB

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