Toeplitz operators with BMO symbols of several complex variables |
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| Authors: | Zhong Hua He Guang Fu Cao |
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| Affiliation: | (1) School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, 510006, P. R. China |
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| Abstract: | In this note we prove that the boundedness and compactness of the Toeplitz operator on the Bergman space La2 (mathbbBn )L_a^2 (mathbb{B}_n ) for several complex variables with a BMO1 symbol is completely determined by the boundary behavior of its Berezin transform. |
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| Keywords: | Toeplitz operator Bergman space Berezin transform |
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