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<p>In this paper, we extend the notions of Lipschitz domination and strong integrability for Lipschitz operators to the setting of two-Lipschitz operators. We establish a version of Pietsch’s domination and factorization theorem for these newly introduced classes. Furthermore, we explore the connections between factorable (<i>p</i>,&#xa0;<i>q</i>)-determined mappings and strongly two-Lipschitz factorable (<i>p</i>,&#xa0;<i>q</i>)-integral mappings.</p>

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Some new classes of Banach two-Lipschitz operator ideals

  • 期刊论文

  • 发表日期：

    2025年10月15日

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  • Khaled Hamidi

摘要

In this paper, we extend the notions of Lipschitz domination and strong integrability for Lipschitz operators to the setting of two-Lipschitz operators. We establish a version of Pietsch’s domination and factorization theorem for these newly introduced classes. Furthermore, we explore the connections between factorable (p, q)-determined mappings and strongly two-Lipschitz factorable (p, q)-integral mappings.