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Toeplitz operators with BMO symbols and the Berezin transform
Nina Zorboska
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Source: Crossref
Published: Jan 1, 2003
DOI: 10.1155/s0161171203212035
Open original source ↗Source 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.
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