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arXiv · 2312.09185

Multilinear Wavelet Compact T(1) Theorem

Anastasios Fragkos·A. Walton Green·Brett D. Wick
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Abstract

We prove a wavelet $T(1)$ theorem for compactness of multilinear Calder\'{o}n-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.

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BibTeXRIS

Anastasios Fragkos, A. Walton Green, Brett D. Wick. 2023-12-14. Multilinear Wavelet Compact T(1) Theorem. https://arxiv.org/abs/2312.09185

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