Abstract
This paper is a summary of the research on the characterizations of central function spaces by the author and his collaborators in the past ten years. More precisely, the author gives some characterizations of central Campanato spaces via the boundedness and compactness of commutators of Hardy operator.
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Acknowledgements
The results of this paper benefit from the author’s cooperation with Professors Dunyan Yan, Zunwei Fu, Fayou Zhao, and Shaoguang Shi in recent decades. The author thanks the anonymous referees cordially for their valuable suggestions on this paper. This work was partially supported by the National Natural Science Foundation of China (Grant No. 11771195) and the Key Laboratory of Mathematics and Complex System of Beijing Normal University.
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Lu, S. Function characterizations via commutators of Hardy operator. Front. Math. China 16, 1–12 (2021). https://doi.org/10.1007/s11464-021-0894-9
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DOI: https://doi.org/10.1007/s11464-021-0894-9