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OALib Journal期刊
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Toeplitz operators with BMO symbols and the Berezin transform

DOI: 10.1155/s0161171203212035

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Abstract:

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.

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