Toeplitz operators with BMO symbols and the Berezin transform

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Date
2002-1-1
Authors
Zorboska, Nina
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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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Nina Zorboska, “Toeplitz operators with BMO symbols and the Berezin transform,” International Journal of Mathematics and Mathematical Sciences, vol. 2003, no. 46, pp. 2929-2945, 2003. doi:10.1155/S0161171203212035