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<p>We prove a wavelet <i>T</i>(1) theorem for compactness of multilinear Calderón–Zygmund (CZ) operators. Our approach characterizes compactness in terms of testing conditions and yields a representation theorem for compact CZ forms in terms of wavelet and paraproduct forms that reflect the compact nature of the operator.</p>

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Multilinear Wavelet Compact T(1) Theorem

  • 期刊论文

  • 发表日期：

    2026年2月24日

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  • Anastasios Fragkos,
  • A. Walton Green,
  • Brett D. Wick

摘要

We prove a wavelet T(1) theorem for compactness of multilinear Calderón–Zygmund (CZ) operators. Our approach characterizes compactness in terms of testing conditions and yields a representation theorem for compact CZ forms in terms of wavelet and paraproduct forms that reflect the compact nature of the operator.