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arXiv · 2303.15657

Schatten Class Estimates for Paraproducts in Multi-parameter setting and applications

Michael T. Lacey·Ji Li·Brett D. Wick
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Abstract

Let $ \Pi _{b}$ be a bounded $n$ parameter paraproduct with symbol $b$. We demonstrate that this operator is in the Schatten class $S^p$, $0<p<\infty$, if the symbol is in the $n$ parameter Besov space $B_p$. Our result covers both the dyadic and continuous version of the paraproducts in the multiparameter setting.

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Michael T. Lacey, Ji Li, Brett D. Wick. 2023-03-28. Schatten Class Estimates for Paraproducts in Multi-parameter setting and applications. https://arxiv.org/abs/2303.15657

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