Sums of Products of Toeplitz and Hankel Operators on the Dirichlet Space |
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Authors: | Young Joo Lee Kehe Zhu |
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Affiliation: | (1) School of Mathematics and Computer Science, Shanxi Normal University, Linfen, 041004, P. R. China |
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Abstract: | On the Dirichlet space of the unit disk, we consider operators that are finite sums of Toeplitz products, Hankel products or products of a Toeplitz operator and a Hankel operator. We characterize when such operators are equal to zero. Our results extend several known results using completely different arguments. |
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