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The \(\mathcal {N}_p\) spaces of the open unit ball are new classes of analytic function spaces with fascinating properties and close ties with the classical Bergman-type spaces \(\mathcal {B}\) and \(A^{-1}\) . We give some intrinsic geometric characterizations of \(\mathcal {N}_p\) functions via the Hadamard gap class. The presented criteria lead to new results and shed more light on the existing ones on operators acting on \(\mathcal {N}_p\) spaces.

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Intrinsic Characterization of \(\mathcal {N}_p\) -spaces via the Hadamard Gap Class

  • 会议论文

  • 发表日期：

    2025年

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  • L. Khoi,
  • J. Mashreghi,
  • M. Nasri

摘要

The \(\mathcal {N}_p\) spaces of the open unit ball are new classes of analytic function spaces with fascinating properties and close ties with the classical Bergman-type spaces \(\mathcal {B}\) and \(A^{-1}\) . We give some intrinsic geometric characterizations of \(\mathcal {N}_p\) functions via the Hadamard gap class. The presented criteria lead to new results and shed more light on the existing ones on operators acting on \(\mathcal {N}_p\) spaces.