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<p>In this paper, we establish the quantitative weighted endpoint estimates for multilinear pseudo-differential operators. The corresponding conclusions for multilinear square functions are also obtained. These were mainly done by using the Nazarov–Treil–Volberg’s method in conjunction with some ideas from Stockdale.</p>

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Quantitative Weighted Endpoint Estimates for Multilinear Pseudo-differential Operators

  • 期刊论文

  • 发表日期：

    2025年11月15日

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  • Jiahui Wang,
  • Moyan Qin,
  • Qingying Xue,
  • Qianqian Zhang

摘要

In this paper, we establish the quantitative weighted endpoint estimates for multilinear pseudo-differential operators. The corresponding conclusions for multilinear square functions are also obtained. These were mainly done by using the Nazarov–Treil–Volberg’s method in conjunction with some ideas from Stockdale.