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<p>In this paper matrix quantitative weighted estimates on spaces of homogeneous type, such as endpoint estimates, strong type estimates are provided. To that end we extend some earlier results on convex body domination due to Nazarov, Petermichl, Treil and Volberg [<CitationRef CitationID="CR35">35</CitationRef>] to this setting. We also provide a <i>T</i>(1) alike convex body domination result analogous to the one provided by Lerner and Ombrosi in [<CitationRef CitationID="CR32">32</CitationRef>], and an application to vector valued extensions of Petermichl operators.</p>

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Matrix weighted estimates on spaces of homogeneous type

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月26日

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  • Guido Claro,
  • Pamela A. Muller,
  • Luis Nowak,
  • Alejandra Perini,
  • Israel P. Rivera-Ríos

摘要

In this paper matrix quantitative weighted estimates on spaces of homogeneous type, such as endpoint estimates, strong type estimates are provided. To that end we extend some earlier results on convex body domination due to Nazarov, Petermichl, Treil and Volberg [35] to this setting. We also provide a T(1) alike convex body domination result analogous to the one provided by Lerner and Ombrosi in [32], and an application to vector valued extensions of Petermichl operators.