科研之友
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摘要
If mu is a finite measure on the unit disc and k >= 0 is an integer, we study a generalization derived from Englis's work, T-mu((k)), of the traditional Toeplitz operators on the Bergman space A(2), which are the case k = 0. Among other things, we prove that when mu >= 0, these operators are bounded if and only if mu is a Carleson measure, they are compact if and only if mu is a vanishing Carleson measure, and we obtain some estimates for their norms. Also, we use these operators to characterize the closure of the image of the Berezin transform applied to the whole operator algebra.
- 出版日期2015
