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<p>In this paper, we study the endpoint Sobolev regularity for composition of maximal operators and commutators. Some new endpoint Sobolev bounds and continuity of the above composition operators are established.</p>

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Endpoint Sobolev Regularity for Composition of Maximal Operators and Commutators

  • 期刊论文

  • 发表日期：

    2026年5月20日

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  • Feng Liu,
  • Xueying Zhu

摘要

In this paper, we study the endpoint Sobolev regularity for composition of maximal operators and commutators. Some new endpoint Sobolev bounds and continuity of the above composition operators are established.