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<p>The aim of this paper is to develop a theory of Lipschitz spaces associated with the sum of two flag singular integrals. We characterize these Lipschitz spaces using Littlewood-Paley theory and demonstrate that the sum of these two flag singular integrals is bounded on them. Additionally, we provide a characterization of these spaces as the sum of flag Lipschitz spaces.</p>

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Lipschitz spaces associated with a sum of two flag singular integrals

  • 期刊论文

  • 发表日期：

    2025年12月26日

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  • Shaoyong He,
  • Lei Wang

摘要

The aim of this paper is to develop a theory of Lipschitz spaces associated with the sum of two flag singular integrals. We characterize these Lipschitz spaces using Littlewood-Paley theory and demonstrate that the sum of these two flag singular integrals is bounded on them. Additionally, we provide a characterization of these spaces as the sum of flag Lipschitz spaces.