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<p>This work extends the study of Toeplitz operators on Newton spaces by Ko et al. (Mediterr J Math 21(2):57, 2024, J Inequal Appl, Paper No. 43, 15, 2024) to introduce and analyze Hankel and little-Hankel operators on these spaces. We determine the matrix representation of Hankel operators, establish criteria for C-symmetry, and derive conditions for expansivity and contractivity of Hankel operators with analytic, co-analytic, and harmonic symbols, contributing to operator theory on Newton spaces and the understanding of Hankel operators.</p>

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Contractivity and Expansivity of Hankel Operators on Newton Space

  • 期刊论文

  • 发表日期：

    2026年1月12日

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  • Mansi,
  • Shivam Kumar Singh

摘要

This work extends the study of Toeplitz operators on Newton spaces by Ko et al. (Mediterr J Math 21(2):57, 2024, J Inequal Appl, Paper No. 43, 15, 2024) to introduce and analyze Hankel and little-Hankel operators on these spaces. We determine the matrix representation of Hankel operators, establish criteria for C-symmetry, and derive conditions for expansivity and contractivity of Hankel operators with analytic, co-analytic, and harmonic symbols, contributing to operator theory on Newton spaces and the understanding of Hankel operators.