Toeplitz operators with BMO symbols and the Berezin transform

Nina Zorboska

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-17

Abstract:

We prove that the boundedness and compactness of the Toeplitz operator on the Bergman space with a BMO 1 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 L 1 -function or an L ∞ function.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:615759

DOI: 10.1155/S0161171203212035

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