Multilinear Wavelet Compact T(1) Theorem

Multilinear Wavelet Compact T(1) Theorem

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...

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Hauptverfasser: Fragkos, Anastasios, Green, A. Walton, Wick, Brett D
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Classical Analysis and ODEs
Mathematics - Functional Analysis
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Zusammenfassung: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.
DOI:10.48550/arxiv.2312.09185