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A note on extrapolation of compactness

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This note is devoted to the study of Hytönen’s extrapolation theorem of compactness on weighted Lebesgue spaces. Two criteria of compactness of linear operators in the two-weight setting are obtained. As applications, we obtain two-weight compactness of commutators of Calderón-Zygmund operators, fractional integrals and bilinear Calderón-Zygmund operators.

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Acknowledgements

The authors would like to sincerely thank Professor Tuomas Hytönen for his very valuable suggestions on Theorems 1.1 and 1.2. Wu is supported by the NNSF of China (Grant Nos. 12171399 and 11871101). Yang is supported by the NNSF of China (Grant Nos. 11971402 and 11871254) and Fundamental Research Funds for Central Universities of China (Grant No. 20720210031).

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  1. School of Mathematical Sciences, **amen University, **amen, 361005, China

    Shenyu Liu, Huoxiong Wu & Dongyong Yang

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  1. Shenyu Liu
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  2. Huoxiong Wu
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Correspondence to Dongyong Yang.

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Liu, S., Wu, H. & Yang, D. A note on extrapolation of compactness. Collect. Math. 74, 375–390 (2023). https://doi.org/10.1007/s13348-022-00353-w

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