Operators on the orthogonal complement of the Dirichlet space |
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| Authors: | Tao Yu |
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| Institution: | Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, PR China |
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| Abstract: | In this paper we prove that a dual Hankel operator is zero if and only if its symbol is orthogonal to the Dirichlet space in the Sobolev space, and characterize the symbols for (semi-)commuting dual Toeplitz operators on the orthogonal complement of the Dirichlet space in Sobolev space. |
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| Keywords: | Sobolev space Dirichlet space Dual Toeplitz operator Dual Hankel operator |
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