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Small Hankel Operators on the Dirichlet-Type Spaces on the Unit Ball ofCn

✍ Scribed by Peng Yan Hu; Wen Jun Zhang


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2004
Tongue
English
Weight
190 KB
Volume
20
Category
Article
ISSN
1439-7617

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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