Abstract
In this paper, the authors first prove the characterizations of Herz Triebel-Lizorkin spaces by two families of operators. Applying the characterizations of Herz Triebel-Lizorkin spaces, the author show that the commutators of sublinear operators with Lipschitz functions are also bounded from Herz spaces to Herz Triebel-Lizorkin spaces.
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07 September 2021
An Erratum to this paper has been published: https://doi.org/10.1007/s13226-021-00163-z
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Acknowledgements
The research was supported by National Natural Science Foundation of China (Grant No.11561067); National Natural Science Foundation of China (Grant No.11661075); Natural Science Foundation of Xinjiang Uygur Autonomous Region (2016D01C381); Natural Science Foundation of Xinjiang Uygur Autonomous Region (2019D01C334).
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Communicated by T S S R K Rao.
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Fang, C., Zhou, J. The boundedness of commutators of sublinear operators on Herz Triebel-Lizorkin spaces. Indian J Pure Appl Math 52, 375–383 (2021). https://doi.org/10.1007/s13226-021-00127-3
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DOI: https://doi.org/10.1007/s13226-021-00127-3