Multilinear Wavelet Compact T(1) Theorem
Classical Analysis and ODEs
2025-10-09 v3 Functional Analysis
Abstract
We prove a wavelet 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.
Cite
@article{arxiv.2312.09185,
title = {Multilinear Wavelet Compact T(1) Theorem},
author = {Anastasios Fragkos and A. Walton Green and Brett D. Wick},
journal= {arXiv preprint arXiv:2312.09185},
year = {2025}
}
Comments
Referee comments incorporated. Final version to appear in Journal d'Analyse Math\'ematique