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Compactness of the commutators generated by Lipschitz functions and fractional integral operators

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Abstract

Compactness of the commutator generated by fractional integral operators and Lipschitz functions is characterized, while its boundedness has already been characterized by Shirai.

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Correspondence to T. Nogayama.

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Original Russian Text © T. Nogayama, Y. Sawano, 2017, published in Matematicheskie Zametki, 2017, Vol. 102, No. 5, pp. 749–760.

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Nogayama, T., Sawano, Y. Compactness of the commutators generated by Lipschitz functions and fractional integral operators. Math Notes 102, 687–697 (2017). https://doi.org/10.1134/S0001434617110086

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  • DOI: https://doi.org/10.1134/S0001434617110086

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