Toeplitz operators with BMO symbols and the Berezin transform
Nina Zorboska1
Received03 Dec 2002
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.