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Toeplitz operators with BMO symbols and the Berezin transform

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  • Nina Zorboska

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.

Suggested Citation

  • Nina Zorboska, 2003. "Toeplitz operators with BMO symbols and the Berezin transform," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-17, January.
    • Handle: RePEc:hin:jijmms:615759
    DOI: 10.1155/S0161171203212035
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    Cited by:

    1. Chunxu Xu & Tao Yu, 2023. "Invertibility and Fredholm Property of Fock Toeplitz Operators," Mathematics, MDPI, vol. 11(13), pages 1-9, July.

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