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- W4387164934 abstract "We give a new formulation of the $T1$ theorem for compactness of Calder'on-Zygmund singular integral operators. In particular, we prove that a Calder'on-Zygmund operator $T$ is compact on $L^2(mathbb{R}^n)$ if and only if $T1,T^*1in text{CMO}(mathbb{R}^n)$ and $T$ is weakly compact. Compared to existing compactness criteria, our characterization more closely resembles David and Journ'e's classical $T1$ theorem for boundedness, avoids technical conditions involving the Calder'on-Zygmund kernel, and follows from a simpler argument." @default.
- W4387164934 created "2023-09-30" @default.
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- W4387164934 date "2023-09-27" @default.
- W4387164934 modified "2023-09-30" @default.
- W4387164934 title "On the $T1$ theorem for compactness of Calder'on-Zygmund operators" @default.
- W4387164934 doi "https://doi.org/10.48550/arxiv.2309.15819" @default.
- W4387164934 hasPublicationYear "2023" @default.
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