Toeplitz operators with BMO symbols and the Berezin transform
Toeplitz operators with BMO symbols and the Berezin transform
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DOI：
10.1155/s0161171203212035
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发表时间：
2003
影响因子：
1.2
通讯作者：
N. Zorboska
中科院分区：
文献类型：
--
作者：
N. Zorboska
证明了带BMO 1符号的Bergman空间上的Toeplitz算子的有界性和紧性完全取决于其Berezin变换的边界性质.这一结果推广了符号为正L1-函数或L∞函数时的已知结果.
We prove that the boundedness and compactness of the Toeplitz operator on the Bergman space with a BMO1 symbol is completely determined by the boundary behaviour of its Berezin transform. This result extends the known results in the cases when the symbol is either a positive L1-function or an L∞ function.