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<p>This paper determines optimal orders of constants for noncommutative martingale inequalities in the context of Lorentz spaces. Our results, new even for commutative martingales, extend those due to Junge and Xu (2005) and Randrianantoanina (2002, 2005, 2007).</p>

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Best constants of noncommutative martingale inequalities in Lorentz spaces

  • 期刊论文

  • 发表日期：

    2025年11月10日

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  • Yong Jiao,
  • Hui Li,
  • Lian Wu,
  • Dejian Zhou

摘要

This paper determines optimal orders of constants for noncommutative martingale inequalities in the context of Lorentz spaces. Our results, new even for commutative martingales, extend those due to Junge and Xu (2005) and Randrianantoanina (2002, 2005, 2007).