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<p>In this article, we introduce some generalized Hardy spaces on fibrations of planar domains and fibrations of products of planar domains. We consider the kernel functions on these spaces, and we prove some weighted versions of Saitoh’s conjecture in fibration cases.</p>

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Weighted Versions of Saitoh’s Conjecture in Fibration Cases

  • 期刊论文

  • 发表日期：

    2025年11月15日

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  • Qi’an Guan,
  • Gan Li,
  • Zheng Yuan

摘要

In this article, we introduce some generalized Hardy spaces on fibrations of planar domains and fibrations of products of planar domains. We consider the kernel functions on these spaces, and we prove some weighted versions of Saitoh’s conjecture in fibration cases.