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<p>In this paper, we discuss Asymmetric Truncated Hankel Operators (ATHO) involving the reflecting operator used in the classical definition of Hankel operators, on a model space. A characterization is obtained for the symbol to induce the zero ATHO. Further, some connections are established between an asymmetric truncated Toeplitz operator and an asymmetric truncated Hankel operator using conjugations.</p>

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Asymmetric truncated Hankel operators and conjugations on model spaces

  • 期刊论文

  • 发表日期：

    2025年9月25日

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  • Gopal Datt,
  • Mohammad Rehan Ansari,
  • Bhawna Bansal Gupta

摘要

In this paper, we discuss Asymmetric Truncated Hankel Operators (ATHO) involving the reflecting operator used in the classical definition of Hankel operators, on a model space. A characterization is obtained for the symbol to induce the zero ATHO. Further, some connections are established between an asymmetric truncated Toeplitz operator and an asymmetric truncated Hankel operator using conjugations.