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...
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| Hlavní autor: | |
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| Médium: | Artigo |
| Jazyk: | Inglês |
| Vydáno: |
Wiley
2003-01-01
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| Edice: | International Journal of Mathematics and Mathematical Sciences |
| On-line přístup: | http://dx.doi.org/10.1155/S0161171203212035 |
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