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<p>We study the relations between maximal functions in a Toeplitz kernel and those in a subkernel of the same Toeplitz operator, as well as the question of how multipliers between Toeplitz kernels act on subkernels. We use those relations to obtain model space representations, in particular isometric model space representations and Hayashi’s representation, for some important classes of Toeplitz kernels.</p>

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Maximal Functions and Multipliers for Subkernels of Toeplitz Operators

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月28日

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  • M. Cristina Câmara,
  • C. Carteiro,
  • C. Diogo

摘要

We study the relations between maximal functions in a Toeplitz kernel and those in a subkernel of the same Toeplitz operator, as well as the question of how multipliers between Toeplitz kernels act on subkernels. We use those relations to obtain model space representations, in particular isometric model space representations and Hayashi’s representation, for some important classes of Toeplitz kernels.