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• W2336619443 abstract "Let $lambda>0$ and $triangle_lambda:=-frac{d^2}{dx^2}-frac{2lambda}{x} frac d{dx}$ be the Bessel operator on $mathbb R_+:=(0,infty)$. We first introduce and obtain an equivalent characterization of ${rm CMO}(mathbb R_+,, x^{2lambda}dx)$. By this equivalent characterization and establishing a new version of the Fr'{e}chet-Kolmogorov theorem in the Bessel setting, we further prove that a function $bin {rm BMO}(mathbb R_+,, x^{2lambda}dx)$ is in ${rm CMO}(mathbb R_+,, x^{2lambda}dx)$ if and only if the Riesz transform commutator $[b, R_{Delta_lambda}]$ is compact on $L^p(mathbb R_+, x^{2lambda}dx)$ for any $pin(1, infty)$." @default.
• W2336619443 created "2016-06-24" @default.
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• W2336619443 date "2016-04-08" @default.
• W2336619443 modified "2023-09-25" @default.
• W2336619443 title "Compactness of Riesz transform commutator associated with Bessel operators" @default.
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• W2336619443 doi "https://doi.org/10.48550/arxiv.1604.02503" @default.
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