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<p>We present a new Schwarz Lemma for holomorphic maps between bounded domains equipped with Bergman metrics. The key ingredient of our proof is the Cauchy-Schwarz inequality from probability theory.</p>

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On the Schwarz Lemma for Bergman metrics of bounded domains

  • 期刊论文

  • 发表日期：

    2026年6月1日

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  • Hoseob Seo,
  • Sungmin Yoo,
  • Jihun Yum

摘要

We present a new Schwarz Lemma for holomorphic maps between bounded domains equipped with Bergman metrics. The key ingredient of our proof is the Cauchy-Schwarz inequality from probability theory.