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Toeplitz operators with BMO symbols and the Berezin transform

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∞ fun...

Whakaahuatanga katoa

I tiakina i:
Ngā taipitopito rārangi puna kōrero
Kaituhi matua: Nina Zorboska
Hōputu: Artigo
Reo:Inglês
I whakaputaina: Wiley 2003-01-01
Rangatū:International Journal of Mathematics and Mathematical Sciences
Urunga tuihono:http://dx.doi.org/10.1155/S0161171203212035
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