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| Toeplitz and Hankel Products on Bergman Spaces of the Unit Ball |
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Citation： |
Yufeng LU,Chaomei LIU.Toeplitz and Hankel Products on Bergman Spaces of the Unit Ball[J].Chinese Annals of Mathematics B,2009,30(3):293~310 |
| Page view： 1789
Net amount： 1111 |
Authors： |
Yufeng LU; Chaomei LIU; |
Foundation： |
the National Natural Science Foundation of China (No. 10671028). |
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| Abstract： |
The authors give some new necessary conditions for the boundedness
of Toeplitz products $T_f^\al T_{\ov g}^\al$ on the weighted Bergman
space $A_\al^2$ of the unit ball, where $f$ and $g$ are analytic on
the unit ball. Hankel products $H_fH_g^*$ on the weighted Bergman
space of the unit ball are studied, and the results analogous to
those Stroethoff and Zheng obtained in the setting of unit disk are
proved. |
Keywords： |
Weighted Bergman space, Unit ball, Toeplitz operator, Hankel operator,
Berezin transform |
Classification： |
47B35, 47B47 |
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