<p>This research paper focuses on the investigation of H-Toeplitz operators on the Fock space. The study explores the algebraic properties of the H-Toeplitz operator and derives its matrix representation corresponding to harmonic symbols. Additionally, the paper examines the necessary conditions for the co-hyponormality of the operator. Furthermore, the research derives necessary and sufficient conditions for the commutativity of H-Toeplitz operators corresponding to analytic symbols.</p>

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H-Toeplitz operators on the Fock space

  • Amita Aggarwal,
  • Anuradha Gupta

摘要

This research paper focuses on the investigation of H-Toeplitz operators on the Fock space. The study explores the algebraic properties of the H-Toeplitz operator and derives its matrix representation corresponding to harmonic symbols. Additionally, the paper examines the necessary conditions for the co-hyponormality of the operator. Furthermore, the research derives necessary and sufficient conditions for the commutativity of H-Toeplitz operators corresponding to analytic symbols.