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<p>We explore some necessary and sufficient conditions for the boundedness of the Forelli-Rudin type operator <i>T</i> on the weighted Lebesgue space associated with tubular domains over the forward light cone. Our approach involves conducting precise computations for a series of complex integrals to identify appropriate test functions, and through a detailed analysis of these test functions, we derive the boundedness properties of the operator <i>T</i>. This work is significant in the study of the Bergman projection operators.</p>

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Boundedness of Forelli-Rudin type operators on tube domains over the forward light cones

  • 期刊论文

  • 发表日期：

    2025年4月8日

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  • Jiaxin Liu,
  • Guantie Deng,
  • Zhiqiang Gao

摘要

We explore some necessary and sufficient conditions for the boundedness of the Forelli-Rudin type operator T on the weighted Lebesgue space associated with tubular domains over the forward light cone. Our approach involves conducting precise computations for a series of complex integrals to identify appropriate test functions, and through a detailed analysis of these test functions, we derive the boundedness properties of the operator T. This work is significant in the study of the Bergman projection operators.